A/Prof Yao-Zhong Zhang's research interests are in: Lie (super)algebras, quantized algebras, representations, quantum integrable systems, (quasi-)exactly solvable models, correlation functions, supersymmetry and conformal field theory.
Yao-Zhong Zhang received his PhD from Northwest University, China, in 1988 under the supervision of Prof Bo-Yu Hou. He spent 12 years in Europe, Japan and Australia as Postdoctoral/Research Fellow, before becoming in 2001 a permament staff member as a Senior Lecturer in Mathematics of the University of Queensland. Since April 2006, he has hold the position of Reader in the School of Mathematics and Physics of the University of Queensland, with the academic title of Associate Professor.
Journal Article: Finding new multipartite entangled resources for measurement-based quantum computation
Li, Wendong, Ma, Xiaoping, Lee, Yuan-Harng, Zhang, Yaozhong and Gu, Yongjian (2023). Finding new multipartite entangled resources for measurement-based quantum computation. Quantum Information Processing, 22 (3) 130, 1-15. doi: 10.1007/s11128-023-03870-0
Journal Article: Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras
Campoamor-Stursberg, Rutwig, Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2023). Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras. Journal of Physics A: Mathematical and Theoretical, 56 (4), 045202. doi: 10.1088/1751-8121/acb576
Journal Article: Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators
Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2022). Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators. Physica D: Nonlinear Phenomena, 440 133464, 1-20. doi: 10.1016/j.physd.2022.133464
From superintegrability to quasi-exact solvability: theory and application
(2019–2022) ARC Discovery Projects
Constructive representation theory of classical and quantum Lie superalgebras
(2014–2016) ARC Discovery Projects
Mathematical models for disordered critical point theories
(2011–2013) ARC Discovery Projects
Superintegrabe systems in curved spaces and algebraic approaches
Doctor Philosophy
A New Theory of Spacetime
Doctor Philosophy
Coherent states and scattering for exactly solvable quantum systems
(2020) Doctor Philosophy
R-matrices without difference property and related integrable models
Superintegrable models and polynomial algebraic structures
Aspects of quantum Rabi type spin boson systems
Uncertainty relations and their applications
Dong Wang, Ming-Liang Hu, Jun Feng and Yao-Zhong Zhang eds. (2022). Uncertainty relations and their applications. Frontiers Research Topics, Lausanne, Switzerland: Frontiers Research Foundation. doi: 10.3389/978-2-83250-137-5
Introduction to anomalous gauge theories
Zhang, Yao-Zhong (1990). Introduction to anomalous gauge theories. Jilin, China: Jilin Science and Technology Press.
On analytic solutions of the driven, 2-photon and two-mode quantum Rabi models
Zhang, Yao-Zhong (2020). On analytic solutions of the driven, 2-photon and two-mode quantum Rabi models. Hilbert Spaces: properties and applications. (pp. 123-142) edited by Le Bin Ho. New York, NY, United States: Nova Science Publishers.
Quasi-exactly solvable systems
Zhang, Yao-Zhong (2019). Quasi-exactly solvable systems. Integrable model methods and their applications. (pp. 322-384) edited by Wen-Li Yang, Zhan-Ying Yang and Tao Yang. Beijing, China: Science Press.
Exactly solvable, non-hermitian BCS Hamiltonian
Moghaddam, Amir, Links, Jon and Zhang, Yao-Zhong (2013). Exactly solvable, non-hermitian BCS Hamiltonian. Symmetries and Groups in Contemporary Physics. (pp. 627-630) Singapore, Singapore: World Scientific. doi: 10.1142/9789814518550_0091
Super coherent states, boson-fermion realizations and representations of superalgebras
Zhang, Yao-Zhong (2006). Super coherent states, boson-fermion realizations and representations of superalgebras. New developments in field theory. (pp. 139-156) edited by O. Kovras. New York, USA: Nova Science Publishers.
Integrable models of correlated electrons
Bracken, Anthony R., Gould, Mark D., Links, Jon R. and Zhang, Yao-Zhong (1999). Integrable models of correlated electrons. Statistical Physics on the Eve of the 21st Century. (pp. 303-315) edited by Murry Batchelor and Luc Wille. River Ridge, New Jersey United States: World Scientific Publishing. doi: 10.1142/3964
Infinite families of gauge-equivalent R-matrices and gradations of quantized affine algebras
Bracken, Anthony J., Gould, Mark D., Zhang, Yao-Zhong and Delius, Gustav W. (1995). Infinite families of gauge-equivalent R-matrices and gradations of quantized affine algebras. Perspectives on Solvable Models. (pp. 231-243) Singapore, Singapore: World Scientific. doi: 10.1142/9789812831279_0015
Finding new multipartite entangled resources for measurement-based quantum computation
Li, Wendong, Ma, Xiaoping, Lee, Yuan-Harng, Zhang, Yaozhong and Gu, Yongjian (2023). Finding new multipartite entangled resources for measurement-based quantum computation. Quantum Information Processing, 22 (3) 130, 1-15. doi: 10.1007/s11128-023-03870-0
Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras
Campoamor-Stursberg, Rutwig, Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2023). Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras. Journal of Physics A: Mathematical and Theoretical, 56 (4), 045202. doi: 10.1088/1751-8121/acb576
Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2022). Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators. Physica D: Nonlinear Phenomena, 440 133464, 1-20. doi: 10.1016/j.physd.2022.133464
Editorial: Uncertainty relations and their applications
Wang, Dong, Hu, Ming-Liang, Feng, Jun and Zhang, Yao-Zhong (2022). Editorial: Uncertainty relations and their applications. Frontiers in Physics, 10 997835. doi: 10.3389/fphy.2022.997835
Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras
Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2022). Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras. Journal of Physics A: Mathematical and Theoretical, 55 (33) 335203, 1-42. doi: 10.1088/1751-8121/ac7ca3
Exact solution of the two-axis two-spin Hamiltonian
Pan, Feng, Zhang, Yao-Zhong, Qi, Xiaohan, Liang, Yue, Zhang, Yuqing and Draayer, Jerry P. (2021). Exact solution of the two-axis two-spin Hamiltonian. Journal of Statistical Mechanics: Theory and Experiment, 2021 (10) 103104. doi: 10.1088/1742-5468/ac26b3
Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures
Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2021). Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures. Journal of Physics A: Mathematical and Theoretical, 54 (39) 395202, 395202. doi: 10.1088/1751-8121/ac1ee8
N-dimensional Smorodinsky-Winternitz model and related higher rank quadratic algebra SW(N)
Correa, Francisco, Fazlul Hoque, Md, Marquette, Ian and Zhang, Yao-Zhong (2021). N-dimensional Smorodinsky-Winternitz model and related higher rank quadratic algebra SW(N). Journal of Physics A: Mathematical and Theoretical, 54 (39) 395201, 395201. doi: 10.1088/1751-8121/ac1dc1
Embedding of the Racah algebra R(n) and superintegrability
Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2021). Embedding of the Racah algebra R(n) and superintegrability. Annals of Physics, 426 168397, 1-18. doi: 10.1016/j.aop.2021.168397
Zhang, Yao-Zhong (2020). Analytic solutions of the Teukolsky equation for massless perturbations of any spin in de Sitter background. Journal of Mathematical Physics, 61 (10) 0015848, 103508. doi: 10.1063/5.0015848
Zhang, Yao-Zhong and Werry, Jason L. (2020). New R-matrices with non-additive spectral parameters and integrable models of strongly correlated fermions. Journal of High Energy Physics, 2020 (3) 141. doi: 10.1007/JHEP03(2020)141
Chen, Zhe, Marquette, Ian and Zhang, Yao-Zhong (2019). Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras. Annals of Physics, 411 167970. doi: 10.1016/j.aop.2019.167970
Strong superadditive deficit of coherence and quantum correlations distribution
Liu, Si-Yuan, Wu, Feng-Lin, Zhang, Yao-Zhong and Fan, Heng (2019). Strong superadditive deficit of coherence and quantum correlations distribution. Chinese Physics Letters, 36 (8) 080303, 080303. doi: 10.1088/0256-307X/36/8/080303
Hoffmann, Scott E., Hussin, Véronique, Marquette, Ian and Zhang, Yao-Zhong (2019). Ladder operators and coherent states for multi-step supersymmetric rational extensions of the truncated oscillator. Journal of Mathematical Physics, 60 (5) 052105, 052105. doi: 10.1063/1.5091953
Extended Laplace-Runge-Lentz vectors, new family of superintegrable systems and quadratic algebras
Chen, Zhe, Marquette, Ian and Zhang, Yao-Zhong (2019). Extended Laplace-Runge-Lentz vectors, new family of superintegrable systems and quadratic algebras. Annals of Physics, 402, 78-90. doi: 10.1016/j.aop.2019.01.009
Influence of a dark soliton on the reflection of a Bose-Einstein condensate by a square barrier
Cheng, Qiao-Ling, Bai, Wen-Kai, Zhang, Yao-Zhong, Xiong, Bo and Yang, Tao (2019). Influence of a dark soliton on the reflection of a Bose-Einstein condensate by a square barrier. Laser Physics, 29 (1) 015501, 015501. doi: 10.1088/1555-6611/aaea78
Bell inequalities violation within non-Bunch–Davies states
Feng, Jun, Huang, Xiaoyang, Zhang, Yao-Zhong and Fan, Heng (2018). Bell inequalities violation within non-Bunch–Davies states. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 786, 403-409. doi: 10.1016/j.physletb.2018.10.020
Extended Calogero models: a construction for exactly solvable kN-body systems
Chen, Zhe, Links, Jon, Marquette, Ian and Zhang, Yao-Zhong (2018). Extended Calogero models: a construction for exactly solvable kN-body systems. Journal of Physics A: Mathematical and Theoretical, 51 (45) 455203, 455203. doi: 10.1088/1751-8121/aae4cc
Quantum estimation in an expanding spacetime
Huang, Xiaoyang, Feng, Jun, Zhang, Yao-Zhong and Fan, Heng (2018). Quantum estimation in an expanding spacetime. Annals of Physics, 397, 336-350. doi: 10.1016/j.aop.2018.08.021
Coherent states for ladder operators of general order related to exceptional orthogonal polynomials
Hoffmann, Scott E., Hussin, Veronique, Marquette, Ian and Zhang, Yao-Zhong (2018). Coherent states for ladder operators of general order related to exceptional orthogonal polynomials. Journal of Physics A: Mathematical and Theoretical, 51 (31) 315203, 315203. doi: 10.1088/1751-8121/aacb3b
Fine-grained uncertainty relations under relativistic motion
Feng, Jun, Zhang, Yao-Zhong, Gould, Mark D. and Fan, Heng (2018). Fine-grained uncertainty relations under relativistic motion. Europhysics Letters, 122 (6) 60001. doi: 10.1209/0295-5075/122/60001
Quantum superintegrable system with a novel chain structure of quadratic algebras
Liao, Yidong, Marquette, Ian and Zhang, Yao-Zhong (2018). Quantum superintegrable system with a novel chain structure of quadratic algebras. Journal of Physics A: Mathematical and Theoretical, 51 (25) 255201. doi: 10.1088/1751-8121/aac111
Recurrence approach and higher order polynomial algebras for superintegrable monopole systems
Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2018). Recurrence approach and higher order polynomial algebras for superintegrable monopole systems. Journal of Mathematical Physics, 59 (5) 052101, 052101. doi: 10.1063/1.5012859
Hoque, Md. Fazlul, Marquette, Ian, Post, Sarah and Zhang, Yao-Zhong (2018). Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials. Annals of Physics, 391, 203-215. doi: 10.1016/j.aop.2018.02.008
Hoffmann, Scott E., Hussin, Veronique, Marquette, Ian and Zhang, Yao-Zhong (2018). Non-classical behaviour of coherent states for systems constructed using exceptional orthogonal polynomials. Journal of Physics A-Mathematical and Theoretical, 51 (8) 085202, 1-16. doi: 10.1088/1751-8121/aaa553
Structures of Nichols (braided) lie algebras of diagonal type
Wu, Weicai, Wang, Jing, Zhang, Shouchuan and Zhang, Yao-Zhong (2018). Structures of Nichols (braided) lie algebras of diagonal type. Journal of Lie Theory, 28 (2), 357-380.
One loop amplitude from null string
Yu, Ming, Zhang, Chi and Zhang, Yao-Zhong (2017). One loop amplitude from null string. Journal of High Energy Physics, 2017 (6) 51. doi: 10.1007/JHEP06(2017)051
On the 2-mode and k-photon quantum Rabi models
Zhang, Yao-Zhong (2017). On the 2-mode and k-photon quantum Rabi models. Reviews in Mathematical Physics, 29 (4) 1750013, 1750013. doi: 10.1142/S0129055X17500131
Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2017). Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang–Coulomb monopole interaction. Annals of Physics, 380, 121-134. doi: 10.1016/j.aop.2017.03.003
Exact solution of the two-axis countertwisting hamiltonian for the half-integer J case
Pan, Feng, Zhang, Yao-Zhong and Draayer, Jerry P. (2017). Exact solution of the two-axis countertwisting hamiltonian for the half-integer J case. Journal of Statistical Mechanics: Theory and Experiment, 2017 (Feb) 023104, 023104. doi: 10.1088/1742-5468/aa5a28
Exact solution of the two-axis countertwisting Hamiltonian
Pan, Feng, Zhang, Yao-Zhong and Draayer, Jerry P. (2017). Exact solution of the two-axis countertwisting Hamiltonian. Annals of Physics, 376, 182-193. doi: 10.1016/j.aop.2016.11.019
Hidden sl(2)-algebraic structure in Rabi model and its 2-photon and two-mode generalizations
Zhang, Yao-Zhong (2016). Hidden sl(2)-algebraic structure in Rabi model and its 2-photon and two-mode generalizations. Annals of Physics, 375, 460-470. doi: 10.1016/j.aop.2016.10.019
Quadratic algebra for superintegrable monopole system in a Taub-NUT space
Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2016). Quadratic algebra for superintegrable monopole system in a Taub-NUT space. Journal of Mathematical Physics, 57 (9) 092104, 092104. doi: 10.1063/1.4962924
Recurrence approach and higher rank cubic algebras for the N-dimensional superintegrable systems
Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2016). Recurrence approach and higher rank cubic algebras for the N-dimensional superintegrable systems. Journal of Physics A: Mathematical and Theoretical, 49 (12) 125201, 1-12. doi: 10.1088/1751-8113/49/12/125201
Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2015). A new family of N dimensional superintegrable double singular oscillators and quadratic algebra Q(3) ⊕ so(n) ⊕ so(N-n). Journal of Physics A: Mathematical and Theoretical, 48 (Art No.: 445207) 445207, 273-&. doi: 10.1088/1751-8113/48/44/445207
On Nichols (braided) Lie algebras
Wu, Weicai, Zhang, Shouchuan and Zhang, Yao-Zhong (2015). On Nichols (braided) Lie algebras. International Journal of Mathematics, 26 (10) 1550082. doi: 10.1142/S0129167X15500822
Quadratic algebra structure and spectrum of a new superintegrable system in N-dimension
Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2015). Quadratic algebra structure and spectrum of a new superintegrable system in N-dimension. Journal of Physics A: Mathematical and Theoretical, 48 (18) 185201, 1-16. doi: 10.1088/1751-8113/48/18/185201
Uncertainty relation in Schwarzschild spacetime
Feng, Jun, Zhang, Yao-Zhong, Gould, Mark D. and Fan, Heng (2015). Uncertainty relation in Schwarzschild spacetime. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 743, 198-204. doi: 10.1016/j.physletb.2015.02.058
Relationship between nichols braided lie algebras and nichols algebras
Wu, Weicai, Zhang, Shouchuan and Zhang, Yao-Zhong (2015). Relationship between nichols braided lie algebras and nichols algebras. Journal of Lie Theory, 25 (1), 45-63.
Probing Planckian physics in de Sitter space with quantum correlations
Feng, Jun, Zhang, Yao-Zhong, Gould, Mark D., Fan, Heng, Sun, Cheng-Yi and Yang, Wen-Li (2014). Probing Planckian physics in de Sitter space with quantum correlations. Annals of Physics, 351, 872-899. doi: 10.1016/j.aop.2014.10.014
New quasi-exactly solvable class of generalized isotonic oscillators
Agboola, Davids, Links, Jon, Marquette, Ian and Zhang, Yao-Zhong (2014). New quasi-exactly solvable class of generalized isotonic oscillators. Journal of Physics A: Mathematical and Theoretical, 47 (39) 395305, 395305.1-395305.17. doi: 10.1088/1751-8113/47/39/395305
Pan, Feng, Bao, Lina, Zhang, Yao-Zhong and Draayer, Jerry P. (2014). Construction of basis vectors for symmetric irreducible representations of O(5) (Formula Presented.) O(3). European Physical Journal Plus, 129 (8) 169, 1-27. doi: 10.1140/epjp/i2014-14169-0
ZN symmetric chiral Rabi model: a new N-level system
Zhang, Yao-Zhong (2014). ZN symmetric chiral Rabi model: a new N-level system. Annals of Physics, 347, 122-129. doi: 10.1016/j.aop.2014.05.003
Exact polynomial solutions of Schrodinger equation with various hyperbolic potentials
Wen, Fa-Kai, Yang, Zhan-Ying, Liu, Chong, Yang, Wen-Li and Zhang, Yao-Zhong (2014). Exact polynomial solutions of Schrodinger equation with various hyperbolic potentials. Communications in Theoretical Physics, 61 (2), 153-159. doi: 10.1088/0253-6102/61/2/02
Finite dimensional nichols algebras over finite cyclic groups
Wu, Weicai, Zhang, Shouchuan and Zhang, Yao-Zhong (2014). Finite dimensional nichols algebras over finite cyclic groups. Journal of Lie Theory, 24 (2), 351-372.
Exact solutions to relativistic singular fractional power potentials
Agboola, Davids and Zhang, Yao-Zhong (2013). Exact solutions to relativistic singular fractional power potentials. Journal of Physics A: Mathematical and Theoretical, 46 (50) 505301, 505301.1-505301.15. doi: 10.1088/1751-8113/46/50/505301
Zhang, Yao-Zhong (2013). Solving the two-mode squeezed harmonic oscillator and the kth-order harmonic generation in Bargmann-Hilbert spaces. Journal of Physics A-Mathematical and Theoretical, 46 (45) 455302, 455302.1-455302.13. doi: 10.1088/1751-8113/46/45/455302
Entropic uncertainty relations under the relativistic motion
Feng, Jun, Zhang, Yao-Zhong, Gould, Mark D. and Fan, Heng (2013). Entropic uncertainty relations under the relativistic motion. Physics Letters B, 726 (1-3), 527-532. doi: 10.1016/j.physletb.2013.08.069
On the solvability of the quantum Rabi model and its 2-photon and two-mode generalizations
Zhang, Yao-Zhong (2013). On the solvability of the quantum Rabi model and its 2-photon and two-mode generalizations. Journal of Mathematical Physics, 54 (10) 102104, 102104.1-102104.13. doi: 10.1063/1.4826356
Heine-Stieltjes correspondence and a new angular momentum projection for many-particle systems
Pan, Feng, Li, Bo, Zhang, Yao-Zhong and Draayer, Jerry P. (2013). Heine-Stieltjes correspondence and a new angular momentum projection for many-particle systems. Physical Review C, 88 (3) 034305, 034305.1-034305.11. doi: 10.1103/PhysRevC.88.034305
Efficient universal quantum computation with auxiliary Hilbert space
Li, Wen-Dong, Gu, Yong-Jian, Liu, Kai, Lee, Yuan-Harng and Zhang, Yao-Zhong (2013). Efficient universal quantum computation with auxiliary Hilbert space. Physical Review A (Atomic, Molecular and Optical Physics), 88 (3) 034303, 034303.1-034303.4. doi: 10.1103/PhysRevA.88.034303
Links, Jon, Moghaddam, Amir and Zhang, Yao-Zhong (2013). BCS model with asymmetric pair scattering: a non-Hermitian, exactly solvable Hamiltonian exhibiting generalized exclusion statistics. Journal of Physics A: Mathematical and Theoretical, 46 (30) 305205, 305205.1-305205.18. doi: 10.1088/1751-8113/46/30/305205
Classification of quiver Hopf algebras and pointed Hopf algebras of type one
Zhang, Shouchuan, Chen, Hui-Xiang and Zhang, Yao-Zhong (2013). Classification of quiver Hopf algebras and pointed Hopf algebras of type one. Bulletin of the Australian Mathematical Society, 87 (2), 216-237. doi: 10.1017/S0004972712000494
Novel quasi-exactly solvable models with anharmonic singular potentials
Agboola, Davids and Zhang, Yao-Zhong (2013). Novel quasi-exactly solvable models with anharmonic singular potentials. Annals of Physics, 330, 246-262. doi: 10.1016/j.aop.2012.11.013
Notes on teleportation in an expanding space
Feng, Jun, Yang, Wen-Li, Zhang, Yao-Zhong and Fan, Heng (2013). Notes on teleportation in an expanding space. Physics Letters B, 719 (4-5), 430-434. doi: 10.1016/j.physletb.2013.01.026
Deconfined quantum criticality and generalized exclusion statistics in a non-Hermitian BCS model
Links, Jon, Moghaddam, Amir and Zhang, Yao-Zhong (2012). Deconfined quantum criticality and generalized exclusion statistics in a non-Hermitian BCS model. Journal of Physics A: Mathematical and Theoretical, 45 (46) 462002, 462002.1-462002.6. doi: 10.1088/1751-8113/45/46/462002
Free-field realization of the exceptional current superalgebra D(2,1;alpha)k
Chen, Xi, Yang, Wen-Li, Ding, Xiang-Mao, Feng, Jun, Ke, San-Min, Wu, Ke and Zhang, Yao-Zhong (2012). Free-field realization of the exceptional current superalgebra D(2,1;alpha)k. Journal of Physics A: Mathematical and Theoretical, 45 (40) 405204, 405204. doi: 10.1088/1751-8113/45/40/405204
Determinant representations for scalar products of the XXZ Gaudin model with general boundary terms
Hao, Kun, Yang, Wen-Li, Fan, Heng, Liu, Si-Yuan, Wu, Ke, Yang, Zhan-Ying and Zhang, Yao-Zhong (2012). Determinant representations for scalar products of the XXZ Gaudin model with general boundary terms. Nuclear Physics B, 862 (3), 835-849. doi: 10.1016/j.nuclphysb.2012.05.019
Quasi-exactly solvable relativistic soft-core Coulomb models
Agboola, Davids and Zhang, Yao-Zhong (2012). Quasi-exactly solvable relativistic soft-core Coulomb models. Annals of Physics, 327 (9), 2275-2287. doi: 10.1016/j.aop.2012.07.002
Exact solutions of the schrodinger equation with spherically symmetric octic potential
Agboola, Davids and Zhang, Yao-Zhong (2012). Exact solutions of the schrodinger equation with spherically symmetric octic potential. Modern Physics Letters A, 27 (20) 1250112, 1250112. doi: 10.1142/S021773231250112X
Pointed Hopf algebras with classical Weyl groups
Zhang, Shouchuan and Zhang, Yao-Zhong (2012). Pointed Hopf algebras with classical Weyl groups. International Journal of Mathematics, 23 (6) 1250066, 1250066-1-1250066-26. doi: 10.1142/S0129167X12500668
Unified derivation of exact solutions for a class of quasi-exactly solvable models
Agboola, Davids and Zhang, Yao-Zhong (2012). Unified derivation of exact solutions for a class of quasi-exactly solvable models. Journal of Mathematical Physics, 53 (4) 042101, 042101. doi: 10.1063/1.3701833
Exact polynomial solutions of second order differential equations and their applications
Zhang, Yao-Zhong (2012). Exact polynomial solutions of second order differential equations and their applications. Journal of Physics A: Mathematical and Theoretical, 45 (6) 065206, 065206.1-065206.20. doi: 10.1088/1751-8113/45/6/065206
Drinfeld twist and symmetric Bethe vectors of open XYZ chain with non-diagonal boundary terms
Chen, Xi, Feng, Jun, Hao, Kun, Wu, Ke, Yang, Wen-Li, Yang, Zhan-Ying and Zhang, Yao-Zhong (2012). Drinfeld twist and symmetric Bethe vectors of open XYZ chain with non-diagonal boundary terms. Communications in Theoretical Physics, 57 (1), 19-28. doi: 10.1088/0253-6102/57/1/05
Quasi-exactly solvable models derived from the quasi-Gaudin algebra
Lee, Yuan-Harng, Links, Jon and Zhang, Yao-Zhong (2011). Quasi-exactly solvable models derived from the quasi-Gaudin algebra. Journal of Physics A: Mathematical and Theoretical, 44 (48) 482001, 482001.1-482001.9. doi: 10.1088/1751-8113/44/48/482001
On classification of n-Lie algebras
Bai, Ruipu, Song, Guojie and Zhang, Yaozhong (2011). On classification of n-Lie algebras. Frontiers of Mathematics in China, 6 (4), 581-606. doi: 10.1007/s11464-011-0107-z
Exact solutions for a family of spin-boson systems
Lee, Yuan-Harng, Links, Jon and Zhang, Yao-Zhong (2011). Exact solutions for a family of spin-boson systems. Nonlinearity, 24 (7), 1975-1986. doi: 10.1088/0951-7715/24/7/004
Scalar products of the open XYZ chain with non-diagonal boundary terms
Yang, Wen-Li, Chen, Xi, Feng, Jun, Hao, Kun, Wu, Ke, Yang, Zhan-Ying and Zhang, Yao-Zhong (2011). Scalar products of the open XYZ chain with non-diagonal boundary terms. Nuclear Physics B, 848 (3), 523-544. doi: 10.1016/j.nuclphysb.2011.03.003
Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end
Yang, Wen-Li, Chen, Xi, Feng, Jun, Hao, Kun, Shi, Kang-Jie, Sun, Cheng-Yi, Yang, Zhan-Ying and Zhang, Yao-Zhong (2011). Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end. Nuclear Physics B, 847 (2), 367-386. doi: 10.1016/j.nuclphysb.2011.01.029
Yang, WL, Chen, X, Feng, J, Hao, K, Hou, BY, Shi, KJ and Zhang, YZ (2011). Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end. Nuclear Physics B, 844 (2), 289-307. doi: 10.1016/j.nuclphysb.2010.11.008
Yang, Wen-Li, Chen, Xi, Feng, Jun, Hao, Kun, Hou, Bo-Yu, Shi, Kang-Jie and Zhang, Yao-Zhong (2011). Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms. Journal of High Eneregy Physics, 2011 (1) 006, 1-18. doi: 10.1007/JHEP01(2011)006
Lee, Yuan-Harng, Yang, Wen-Li and Zhang, Yao-Zhong (2010). Polynomial algebras and exact solutions of general quantum nonlinear optical models: II. Multi-mode boson systems. Journal of Physics A: Mathematical and Theoretical, 43 (37) 375211, 375211-01-375211-12. doi: 10.1088/1751-8113/43/37/375211
Drinfeld twists of the open XXZ chain with non-diagonal boundary terms
Yang, Wen-Li and Zhang, Yao-Zhong (2010). Drinfeld twists of the open XXZ chain with non-diagonal boundary terms. Nuclear Physics B, 831 (3), 408-428. doi: 10.1016/j.nuclphysb.2010.01.001
Lee, Yuan-Harng, Yang, Wen-Li and Zhang, Yao-Zhong (2010). Polynomial algebras and exact solutions of general quantum nonlinear optical models I: two-mode boson systems. Journal of Physics A: Mathematical and Theoretical, 43 (18) 185204, 185204-1-185204-17. doi: 10.1088/1751-8113/43/18/185204
Yang, Wen-Li, Zhang, Yao-Zhong and Kault, Samuel (2009). Differential operator realizations of superalgebras and free field representations of corresponding current algebras. Nuclear Physics, Section B, 823 (3), 372-402. doi: 10.1016/j.nuclphysb.2009.06.029
Partition function of the eight-vertex model with domain wall boundary condition
Yang, Wen-Li and Zhang, Yao-Zhong (2009). Partition function of the eight-vertex model with domain wall boundary condition. Journal of Mathematical Physics, 50 (8) 083518, 083518.1-083518.14. doi: 10.1063/1.3205448
Generalized path algebras and pointed Hopf algebras
Zhang, Shou Chuan, Zhang, Yao Zhong and Guo, Xi Jing (2009). Generalized path algebras and pointed Hopf algebras. 數學研究與評論, 29 (3), 395-406. doi: 10.3770/j.issn:1000-341X.2009.03.003
3-Lie algebras with an ideal N
Bai, Rui-pu, Shen, Cai-hong and Zhang, Yao-Zhong (2009). 3-Lie algebras with an ideal N. Linear Algebra and its Applications, 431 (5-7), 673-700. doi: 10.1016/j.laa.2009.03.018
Bethe ansatz solutions to quasi exactly solvable difference equations
Sasaki, Ryu, Yang, Wen-Li and Zhang, Yao-Zhong (2009). Bethe ansatz solutions to quasi exactly solvable difference equations. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 5 104. doi: 10.3842/SIGMA.2009.104
Free-field realization of the osp(2n/2n) current algebra
Yang, Wen-Li and Zhang, Yao-Zhong (2008). Free-field realization of the osp(2n/2n) current algebra. Physical Review D, 78 (10) 106004, 106004-1-106004-12. doi: 10.1103/PhysRevD.78.106004
Inner structure of Spinc (4) gauge potential on 4-dimensional manifolds
Liu, X., Duan, Y-S., Yang, Wen-Li and Zhang, Yao-Zhong (2008). Inner structure of Spinc (4) gauge potential on 4-dimensional manifolds. Annals of Physics, 323 (9), 2107-2114. doi: 10.1016/j.aop.2008.06.002
Local quasitriangular Hopf algebras
Zhang, Shouchuan, Gould, Mark D. and Zhang, Yao-Zhong (2008). Local quasitriangular Hopf algebras. Symmetry, Integrability and Geometry: Methods and Applications, 4 042, 1-14. doi: 10.3842/SIGMA.2008.042
Multiple reference states and complete spectrum of the Zn Belavin model with open boundaries
Yang, Wen-Li and Zhang, Yao-Zhong (2008). Multiple reference states and complete spectrum of the Zn Belavin model with open boundaries. Nuclear Physics B, 789 (3), 591-609. doi: 10.1016/j.nuclphysb.2007.07.024
On explicit free field realization of current algebras
Yang, Wen-Li and Zhang, Yao-Zhong (2008). On explicit free field realization of current algebras. Nuclear Physics B, 800 (3), 527-546. doi: 10.1016/j.nuclphysb.2008.02.011
On the second reference state and complete eigenstates of the open XXZ chain
Yang, Wen-Li and Zhang, Yao-Zhong (2007). On the second reference state and complete eigenstates of the open XXZ chain. The Journal of High Energy Physics, 2007 (4) 044, 044-1-044-10. doi: 10.1088/1126-6708/2007/04/044
Supersymmetric vertex models with domain wall boundary conditions
Zhao, S. Y. and Zhang, Y. Z. (2007). Supersymmetric vertex models with domain wall boundary conditions. Journal of Mathematical Physics, 48 (2) 023504, 023504-1-023504-12. doi: 10.1063/1.2436986
Classification of PM quiver Hopf algebras
Zhang, S., Zhang, Y. Z. and Chen, H. X. (2007). Classification of PM quiver Hopf algebras. Journal of Algebra and Its Applications, 6 (6), 919-950. doi: 10.1142/S0219498807002569
Exact classical solutions of nonlinear sigma models on supermanifolds
Sasaki, R., Yang, W. L. and Zhang, Y. Z. (2007). Exact classical solutions of nonlinear sigma models on supermanifolds. Nuclear Physics B, 772 (3), 371-384. doi: 10.1016/j.nuclphysb.2007.03.013
Finite matrix Model of Quantum Hall Fluids on S2
Chen, Y. X., Gould, M. D. and Zhang, Y. Z. (2007). Finite matrix Model of Quantum Hall Fluids on S2. Bulletin of the Australian Mathematical Society, 76 (1), 111-132. doi: 10.1017/S0004972700039502
Free field realization of current superalgebra gl(m/n)k
Yang, W. L., Zhang, Y. Z. and Liu, X. (2007). Free field realization of current superalgebra gl(m/n)k. Journal of Mathematical Physics, 48 (5) 053514, 053514.1-053514.11. doi: 10.1063/1.2739306
Structures and representations of generalized path algebras
Zhang, S. and Zhang, Y. Z. (2007). Structures and representations of generalized path algebras. Algebras and Representation Theory, 10 (2), 117-134. doi: 10.1007/s10468-006-9036-z
gl(414) current superalgebra: Free field realization and screening currents
Yang, WL, Zhang, YZ and Liu, X (2006). gl(414) current superalgebra: Free field realization and screening currents. Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics, 641 (3-4), 329-334. doi: 10.1016/j.physletb.2006.08.046
Q-operator and T-Q relation from the fusion hierarchy
Yang, Wen-Li, Nepomechie, Rafael I. and Zhang, Yao-Zhong (2006). Q-operator and T-Q relation from the fusion hierarchy. Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics, 633 (4-5), 664-670. doi: 10.1016/j.physletb.2005.12.022
Determinant representation of correlation functions for the Uq(gl(1|1)) free fermion model
Zhao, Shao-You, Yang, Wen-Li and Zhang, Yao-Zhong (2006). Determinant representation of correlation functions for the Uq(gl(1|1)) free fermion model. Journal of Mathematical Physics, 47 (1) 013302, 013302-1-013302-15. doi: 10.1063/1.2161019
Determinant representations of correlation functions for the supersymmetric t-J model
Zhao, SY, Yang, WL and Zhang, YZ (2006). Determinant representations of correlation functions for the supersymmetric t-J model. Communications In Mathematical Physics, 268 (2), 505-541. doi: 10.1007/s00220-006-0113-2
Yang, WL, Zhang, YZ and Zhao, SY (2006). Drinfeld twists and algebraic bethe ansatz of the supersymmetric model associated with U-q(gl(m vertical bar n)). Communications In Mathematical Physics, 264 (1), 87-114. doi: 10.1007/s00220-005-1513-4
On the construction of correlation functions for the integrable supersymmetric fermion models
Zhao, SY, Yang, WL and Zhang, YZ (2006). On the construction of correlation functions for the integrable supersymmetric fermion models. International Journal of Modern Physics B, 20 (5), 505-549. doi: 10.1142/S0217979206033383
T-Q relation and exact solution for the XYZ chain with general non-diagonal boundary terms
Yang, WL and Zhang, YZ (2006). T-Q relation and exact solution for the XYZ chain with general non-diagonal boundary terms. Nuclear Physics B, 744 (3), 312-329. doi: 10.1016/j.nuclphysb.2006.03.025
Drinfeld twists and symmetric Bethe vectors of supersymmetric fermion models
Zhao, Shao-You, Yang, Wen-Li and Zhang, Yao-Zhong (2005). Drinfeld twists and symmetric Bethe vectors of supersymmetric fermion models. Journal of Statistical Mechanics: Theory and Experiment, 2005 (April), PO4005-1-PO4005-24. doi: 10.1088/1742-5468/2005/04/P04005
Exact solution of the A(n-1)((1)) trigonometric vertex model with non-diagonal open boundaries
Yang, Wen-Li and Zhang, Yao-Zhong (2005). Exact solution of the A(n-1)((1)) trigonometric vertex model with non-diagonal open boundaries. The Journal of High Energy Physics, 2005 (1), 021-1-021-21. doi: 10.1088/1126-6708/2005/01/021
A unified and complete construction of all finite dimensional irreducible representations of gl(2|2)
Zhang, Yao-Zhong and Gould, M. D. (2005). A unified and complete construction of all finite dimensional irreducible representations of gl(2|2). Journal of Mathematical Physics, 46 (1) 013505, 013505-1-013505-19. doi: 10.1063/1.1812829
A(n-1) Gaudin model with open boundaries
Yang, Wen-Li, Zhang, Yao-Zhong and Sasaki, Ryu (2005). A(n-1) Gaudin model with open boundaries. Nuclear Physics B, 729 (3), 594-610. doi: 10.1016/j.nuclphysb.2005.09.003
Axial Anomaly for Eguchi-Hanson Metrics with Nonzero Total Mass
Zhang, X. and Zhang, Y. Z. (2005). Axial Anomaly for Eguchi-Hanson Metrics with Nonzero Total Mass. Communications In Theoretical Physics, 43 (1), 79-80. doi: 10.1088/0253-6102/43/1/016
Primary Fields and Screening Currents of gl (2/2) non-unitary conformal field theory
Zhang, Y. Z., Liu, X. and Yang, W. L. (2005). Primary Fields and Screening Currents of gl (2/2) non-unitary conformal field theory. Nuclear Physics B, 704 (3), 510-526. doi: 10.1016/j.nuclphysb.2004.10.011
Various topological excitations in the SO(4) gauge field in higher dimensions
Liu, X, Zhang, YZ, Duan, YS and Fu, LB (2005). Various topological excitations in the SO(4) gauge field in higher dimensions. Annals of Physics, 318 (2), 419-431. doi: 10.1016/j.aop.2005.02.001
Non-diagonal solutions of the reflection equation for the trigonometric A((1)) (n-1) vertex model
Yang, Wen-Li and Zhang, Yao-Zhong (2004). Non-diagonal solutions of the reflection equation for the trigonometric A((1)) (n-1) vertex model. The Journal of High Energy Physics, 8 (12), 19-1-19-12. doi: 10.1088/1126-6708/2004/12/019
Zhang, S. H. and Zhang, Y. Z. (2004). Braided m-Lie algebras. Letters In Mathematical Physics, 70 (2), 155-167. doi: 10.1007/s11005-004-4294-3
Z(n) elliptic Gaudin model with open boundaries
Yang, Wen-Li, Sasaki, Ryu and Zhang, Yao-Zhong (2004). Z(n) elliptic Gaudin model with open boundaries. The Journal of High Energy Physics, 2004 (9), 046-1-046-18. doi: 10.1088/1126-6708/2004/09/046
Drinfield twists and alegebraic Bethe ansatz of the supersymmetric t-J model
Yang, Wen-Li, Zhang, Yao-Zhong and Zhao, Shao-You (2004). Drinfield twists and alegebraic Bethe ansatz of the supersymmetric t-J model. The Journal of High Energy Physics, 8 (12), 038-1-038-24. doi: 10.1088/1126-6708/2004/12/038
Zhang, Y. Z. (2004). Coherent state construction of representations of osp(2|2) and primary fields of osp(2|2) conformal field theory. Physics Letters A, 327 (5-6), 442-451. doi: 10.1016/j.physleta.2004.05.017
Exact solution of the XXZ Gaudin model with generic open boundaries
Yang, W. L., Zhang, Y. Z. and Gould, M. D. (2004). Exact solution of the XXZ Gaudin model with generic open boundaries. Nuclear Physics B, 698 (3), 503-516. doi: 10.1016/j.nuclphysb.2004.07.029
Quantum doubles from a class of noncocommutative weak Hopf algebras
Li, F and Zhang, YZ (2004). Quantum doubles from a class of noncocommutative weak Hopf algebras. Journal of Mathematical Physics, 45 (8), 3266-3281. doi: 10.1063/1.1767989
On osp(2|2) conformal field theories
Ding, Xiang-Mao, Gould, Mark D., Mewton, Courtney J. and Zhang, Yao-Zhong (2003). On osp(2|2) conformal field theories. Journal of Physics A-mathematical And General, 36 (11), 7649-7665. doi: 10.1088/0305-4470/36/27/316
gl(2 vertical bar 2) current superalgebra and non-unitary conformal field theory
Ding, X. M., Gould, M. D. and Zhang, Y. Z. (2003). gl(2 vertical bar 2) current superalgebra and non-unitary conformal field theory. Physics Letters A, 318 (4-5), 354-363. doi: 10.1016/j.physleta.2003.08.034
Elliptic Gaudin models and elliptic KZ equations
Gould, Mark D., Zhang, Yao-Zhong and Zhao, Shao-You (2002). Elliptic Gaudin models and elliptic KZ equations. Nuclear Physics B, 630 (3), 492-508. doi: 10.1016/S0550-3213(02)00136-0
Ding, Xiang-Mao, Gould, Mark D. and Zhang, Yao-Zhong (2002). Twisted parafermions. Physics Letters B, 530 (1-4), 197-201. doi: 10.1016/S0370-2693(02)01319-9
The q-deformed supersymmetric t-J model with a boundary
Hou, B. Y., Yang, W. L., Zhang, Y. Z. and Zhen, Y. (2002). The q-deformed supersymmetric t-J model with a boundary. Journal of Physics A-mathematical And General, 35 (11), 2593-2608. doi: 10.1088/0305-4470/35/11/306
A(2)((2)) parafermions: a new conformal field theory
Ding, XM, Gould, MD and Zhang, YZ (2002). A(2)((2)) parafermions: a new conformal field theory. Nuclear Physics B, 636 (3) 8334, 549-567. doi: 10.1016/S0550-3213(02)00335-8
Free field and parafermionic realizations of twisted su(3)(k)((2)) current algebra
Ding, X. M., Gould, M. D. and Zhang, Y. Z. (2002). Free field and parafermionic realizations of twisted su(3)(k)((2)) current algebra. International Journal of Modern Physics B, 16 (14 & 15), 2153-2159. doi: 10.1142/S0217979202011913
R-matrices and the tensor product graph method
Gould, M. D. and Zhang, Y. Z. (2002). R-matrices and the tensor product graph method. International Journal of Modern Physics B, 16 (14 & 15), 2145-2151. doi: 10.1142/S0217979202011901
Supersymmetric t-J Gaudin models and KZ equations
Gould, M. D., Zhang, Y. Z. and Zhao, S. Y. (2002). Supersymmetric t-J Gaudin models and KZ equations. Journal of Physics A-mathematical And General, 35 (44), 9381-9393. doi: 10.1088/0305-4470/35/44/308
Gould, Mark D., Zhang, Yao-Zhong and Isaac, Phillip S. (2001). On Quasi-Hopf Superalgebras. Communications in Mathematical Physics, 224 (2), 341-372. doi: 10.1007/s00220-001-0566-2
Yang, Wen-Li and Zhang, Yao-Zhong (2001). Drinfeld basis of the twisted quantum affine algebra Uq(A(2)((2))) from the Gauss decomposition of an L-operator. Journal of physics. A, Mathematical and general physics, 34 (13), L205-L211. doi: 10.1088/0305-4470/34/13/107
Izergin-Korepin model with a boundary
Yang, WL and Zhang, YZ (2001). Izergin-Korepin model with a boundary. Nuclear Physics B, 596 (3), 495-512. doi: 10.1016/S0550-3213(00)00694-5
Twisted sl(3, C)(k)((2)) current algebra: free field representation and screening currents
Ding, XM, Gould, MD and Zhang, YZ (2001). Twisted sl(3, C)(k)((2)) current algebra: free field representation and screening currents. Physics Letters B, 523 (3-4), 367-376. doi: 10.1016/S0370-2693(01)01361-2
Yang, Wen-Li and Zhang, Yao-Zhong (2000). Level-one highest weight representation of U-q[sl((N)over-cap vertical bar 1)] and Bosonization of the multicomponent Super t-J model. Journal of Mathematical Physics, 41 (8), 5849-5869. doi: 10.1063/1.533441
Yang, Wen-Li and Zhang, Yao-Zhong (2000). Level-one highest weight representations of U-q[g1(1 vertical bar 1)] and associated vertex operators. Physics Letters A, 267 (2-3), 157-166. doi: 10.1016/S0375-9601(00)00085-2
Twisted quantum affine superalgebra Uq[gl(m|n)(2)] and new Uq[osp(m|n)] invariant R-matrices
Gould, M. D. and Zhang, Yao-Zhong (2000). Twisted quantum affine superalgebra Uq[gl(m|n)(2)] and new Uq[osp(m|n)] invariant R-matrices. Nuclear Physics B, 566 (3), 529-546. doi: 10.1016/S0550-3213(99)00516-7
Casimir invariants from quasi-Hopf (super)algebras
Gould, Mark D., Zhang, Yao-Zhong and Isaac, Phillip S. (2000). Casimir invariants from quasi-Hopf (super)algebras. Journal of Mathematical Physics, 41 (1), 547-568. doi: 10.1063/1.533151
Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras
Links, JR, Gould, MD and Zhang, YZ (2000). Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras. Journal of Mathematical Physics, 41 (7), 5020-5032. doi: 10.1063/1.533390
Zhang, YZ and Gould, MD (2000). U-q[(sl(2)over-cap vertical bar 1)] vertex operators, screen currents, and correlation functions at an arbitrary level. Journal of Mathematical Physics, 41 (8), 5277-5291. doi: 10.1063/1.533409
Uq[sl(2|1)] vertex operators, screen currents and correlation functions at arbitrary level
Zhang, Yao-Zhong and Gould, M. D. (2000). Uq[sl(2|1)] vertex operators, screen currents and correlation functions at arbitrary level. Journal of Mathematical Physics, 41, 5277-5291.
Vertex operators of Uq[gl[(N|N)] and highest weight representations of Uq[gl(2|2)]
Yang, Wen-Li and Zhang, Yao-Zhong (2000). Vertex operators of Uq[gl[(N|N)] and highest weight representations of Uq[gl(2|2)]. Journal of Mathematical Physics, 41 (4), 2460-2481. doi: 10.1063/1.533252
Yang, Wen-Li and Zhang, Yao-Zhong (1999). Drinfeld basis and free boson representation of twisted quantum affine superalgebra Uq[osp(2 | 2)(2)]. Physics Letters A, 261 (5-6), 252-258. doi: 10.1016/S0375-9601(99)00644-1
The twisted quantum affine algebra Uq[A2(2)] and correlation function of the IK model
Hou, Bo-Yu, Yang, Wen-Li and Zhang, Yao-Zhong (1999). The twisted quantum affine algebra Uq[A2(2)] and correlation function of the IK model. Nuclear Physics B, 556 (3), 485-504. doi: 10.1016/S0550-3213(99)00348-X
Yang, Wen-Li and Zhang, Yao-Zhong (1999). Highest weight representation of Uq[sl(2 | 1)) and correlation function of the q-deformed supersymmetric t-J model. Nuclear Physics B, 547 (3), 599-622. doi: 10.1016/S0550-3213(99)00050-4
Boundary two-parameter eight-state supersymmetric Fermion model and Bethe Ansatz solution
Bracken, A. J., Ge, X. Y., Zhang, Y. Z. and Zhou, H. Q. (1999). Boundary two-parameter eight-state supersymmetric Fermion model and Bethe Ansatz solution. Bulletin of the Australian Mathematical Society, 59 (3), 375-390. doi: 10.1017/S0004972700033050
Level-one representations and vertex operators of quantum affine superalgebra Uq[gl(N | N)]
Zhang, Yao-Zhong (1999). Level-one representations and vertex operators of quantum affine superalgebra Uq[gl(N | N)]. Journal of Mathematical Physics, 40 (11), 6110-6124. doi: 10.1063/1.533073
Quasi-Hopf superalgebras and elliptic quantum supergroups
Zhang, YZ and Gould, MD (1999). Quasi-Hopf superalgebras and elliptic quantum supergroups. Journal of Mathematical Physics, 40 (10), 5264-5282. doi: 10.1063/1.533029
Gould, Mark D. and Zhang, Yao-Zhong (1999). Quasispin graded-fermion formalism and gl(m vertical bar n)down arrow osp(m vertical bar n) branching rules. Journal of Mathematical Physics, 40 (11), 5371-5386. doi: 10.1063/1.533075
Integrable eight-state supersymmetric U model with boundary terms and its Bethe ansatz solution
Ge, Xiang-Yu, Gould, Mark D., Zhang, Yao-Zhong and Zhou, Huan-Qiang (1998). Integrable eight-state supersymmetric U model with boundary terms and its Bethe ansatz solution. Physics Letters, Section A: General, Atomic and Solid State Physics, 238 (4-5), 309-314. doi: 10.1016/S0375-9601(97)00959-6
Ge, XY, Gould, MD, Zhang, YZ and Zhou, HQ (1998). A new two-parameter integrable model of strongly correlated fermions with quantum superalgebra symmetry. Journal of Physics A-mathematical And General, 31 (23), 5233-5239. doi: 10.1088/0305-4470/31/23/006
An open-boundary integrable model of three coupled XY spin chains
Bracken, AJ, Ge, XY, Zhang, YZ and Zhou, HQ (1998). An open-boundary integrable model of three coupled XY spin chains. Nuclear Physics B, 516 (3), 603-622. doi: 10.1016/S0550-3213(98)00066-2
Eight-state supersymmetric U model of strongly correlated fermions
Gould, MD, Zhang, YZ and Zhou, HQ (1998). Eight-state supersymmetric U model of strongly correlated fermions. Physical Review B, 57 (16), 9498-9501. doi: 10.1103/PhysRevB.57.9498
Integrable eight-state supersymmetric U model with boundary terms and its Bethe ansatz solution
Ge, XY, Gould, MD, Zhang, YZ and Zhou, HQ (1998). Integrable eight-state supersymmetric U model with boundary terms and its Bethe ansatz solution. Physics Letters A, 238 (4-5), 309-314. doi: 10.1016/S0375-9601(97)00959-6
Bracken, AJ, Ge, XY, Zhang, YZ and Zhou, HQ (1998). Integrable open-boundary conditions for the q-deformed supersymmetric U model of strongly correlated electrons. Nuclear Physics B, 516 (3), 588-602. doi: 10.1016/S0550-3213(98)00067-4
Zhang, YZ and Zhou, HQ (1998). New integrable boundary conditions for the q-deformed supersymmetric U model and Bethe ansatz equations. Physics Letters A, 244 (5), 427-431. doi: 10.1016/S0375-9601(98)00349-1
Nine classes of integrable boundary conditions for the eight-state supersymmetric fermion model
Zhang, YZ and Zhou, HQ (1998). Nine classes of integrable boundary conditions for the eight-state supersymmetric fermion model. Journal of Physics A-mathematical And General, 31 (34), 7051-7059. doi: 10.1088/0305-4470/31/34/008
On super-RS algebra and Drinfeld realization of quantum affine superalgebras
Gould, MD and Zhang, YZ (1998). On super-RS algebra and Drinfeld realization of quantum affine superalgebras. Letters In Mathematical Physics, 44 (4), 291-308. doi: 10.1023/A:1007494602290
On the graded quantum Yang-Baxter and reflection equations
Zhang, YZ (1998). On the graded quantum Yang-Baxter and reflection equations. Communications In Theoretical Physics, 29 (3), 377-380. doi: 10.1088/0253-6102/29/3/377
Quantum integrability and exact solution of the supersymmetric U model with boundary terms
Zhang, YZ and Zhou, HQ (1998). Quantum integrability and exact solution of the supersymmetric U model with boundary terms. Physical Review B, 58 (1), 51-53. doi: 10.1103/PhysRevB.58.51
Zhang, YZ (1997). Comments on the Drinfeld realization of the quantum affine superalgebra U-q[gl(m backslash n)(1)] and its Hopf algebra structure. Journal of Physics A-mathematical And General, 30 (23), 8325-8335. doi: 10.1088/0305-4470/30/23/028
Super-Yangian double and its central extension
Zhang, YZ (1997). Super-Yangian double and its central extension. Physics Letters A, 234 (1), 20-26. doi: 10.1016/S0375-9601(97)00560-4
Gould, MD, Links, JR, Zhang, YZ and Tsohantjis, I (1997). Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model. Journal of Physics A-mathematical And General, 30 (12), 4313-4325. doi: 10.1088/0305-4470/30/12/018
Quantum Lie algebras associated to U-q(gl(n)) and U-q(sl(n))
Delius, GW, Huffmann, A, Gould, MD and Zhang, YZ (1996). Quantum Lie algebras associated to U-q(gl(n)) and U-q(sl(n)). Journal of Physics A-Mathematical and General, 29 (17), 5611-5617. doi: 10.1088/0305-4470/29/17/031
Reflection K-matrices of the 19-vertex model and XXZ spin-1 chain with general boundary terms
Inami, T, Odake, S and Zhang, YZ (1996). Reflection K-matrices of the 19-vertex model and XXZ spin-1 chain with general boundary terms. Nuclear Physics B, 470 (3), 419-432. doi: 10.1016/0550-3213(96)00133-2
Twisted quantum affine algebras and solutions to the Yang-Baxter equation
Delius, GW, Gould, MD and Zhang, YZ (1996). Twisted quantum affine algebras and solutions to the Yang-Baxter equation. International Journal of Modern Physics a, 11 (19), 3415-3437. doi: 10.1142/S0217751X96001632
Integrable four-Fermi models with a boundary and boson-fermion duality
Inami, Takeo, Konno, Hitoshi and Zhang, Yao-Zhong (1996). Integrable four-Fermi models with a boundary and boson-fermion duality. Physics Letters B, 376 (1-3), 90-96. doi: 10.1016/0370-2693(96)00295-X
Eigenvalues of casimir invariants for type I quantum superalgebras
Gould, MD, Links, JR and Zhang, YZ (1996). Eigenvalues of casimir invariants for type I quantum superalgebras. Letters in Mathematical Physics, 36 (4), 415-425. doi: 10.1007/BF00714406
Integrable electron model with correlated hopping and quantum supersymmetry
Gould, Mark D., Hibberd, Katrina E., Links, Jon R. and Zhang, Yao-Zhong (1996). Integrable electron model with correlated hopping and quantum supersymmetry. Physics letters A, 212 (3), 156-160. doi: 10.1016/0375-9601(96)00042-4
Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials
Gould, MD, Links, JR and Zhang, YZ (1996). Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials. Journal of Mathematical Physics, 37 (2), 987-1003. doi: 10.1063/1.531422
An extended supersymmetric t-J model
Zhang, YZ (1995). An extended supersymmetric t-J model. Acta Physica Polonica a, 88 (6), 1119-1122. doi: 10.12693/APhysPolA.88.1119
Delius, GW, Gould, MD, Links, JR and Zhang, YZ (1995). Solutions of the Yang-Baxter Equation with Extra Nonadditive Parameters .2. U-Q(gl(m-Vertical-Bar-N)). Journal of Physics A-Mathematical and General, 28 (21), 6203-6210. doi: 10.1088/0305-4470/28/21/023
Supersymmetric Extension of the Sine-Gordon Theory with Integrable Boundary Interactions
Inami, T, Odake, S and Zhang, YZ (1995). Supersymmetric Extension of the Sine-Gordon Theory with Integrable Boundary Interactions. Physics Letters B, 359 (1-2), 118-124. doi: 10.1016/0370-2693(95)01072-X
On Type-I Quantum Affine Superalgebras
Delius, GW, Gould, MD, Links, JR and Zhang, YZ (1995). On Type-I Quantum Affine Superalgebras. International Journal of Modern Physics a, 10 (23), 3259-3281. doi: 10.1142/S0217751X95001571
Finite-Dimensional Representations of Quantum Affine Algebras
Delius, GW and Zhang, YZ (1995). Finite-Dimensional Representations of Quantum Affine Algebras. Journal of Physics A-Mathematical and General, 28 (7), 1915-1927. doi: 10.1088/0305-4470/28/7/014
New Supersymmetric and Exactly Solvable Model of Correlated Electrons
Bracken, AJ, Gould, MD, Links, JR and Zhang, YZ (1995). New Supersymmetric and Exactly Solvable Model of Correlated Electrons. Physical Review Letters, 74 (14), 2768-2771. doi: 10.1103/PhysRevLett.74.2768
Quantized Affine Algebras and Parameter-Dependent R-Matrices
Bracken, AJ, Gould, MD and Zhang, YZ (1995). Quantized Affine Algebras and Parameter-Dependent R-Matrices. Bulletin of the Australian Mathematical Society, 51 (2), 177-194. doi: 10.1017/S0004972700014040
On the Construction of Trigonometric Solutions of the Yang-Baxter Equation
Delius, GW, Gould, MD and Zhang, YZ (1994). On the Construction of Trigonometric Solutions of the Yang-Baxter Equation. Nuclear Physics B, 432 (1-2), 377-403. doi: 10.1016/0550-3213(94)90607-6
Quantum Affine Lie-Algebras, Casimir Invariants, and Diagonalization of the Braid Generator
Gould, MD and Zhang, YZ (1994). Quantum Affine Lie-Algebras, Casimir Invariants, and Diagonalization of the Braid Generator. Journal of Mathematical Physics, 35 (12), 6757-6773. doi: 10.1063/1.530641
Infinite Families of Gauge-Equivalent R-Matrices and Gradations of Quantized Affine Algebras
Bracken, AJ, Gould, MD, Zhang, YZ and Delius, GW (1994). Infinite Families of Gauge-Equivalent R-Matrices and Gradations of Quantized Affine Algebras. International Journal of Modern Physics B, 8 (25-26), 3679-3691. doi: 10.1142/S0217979294001585
Solutions of the Quantum Yang-Baxter Equation with Extra Nonadditive Parameters
Bracken, AJ, Gould, MD, Zhang, YZ and Delius, GW (1994). Solutions of the Quantum Yang-Baxter Equation with Extra Nonadditive Parameters. Journal of Physics A-Mathematical and General, 27 (19) 025, 6551-6561. doi: 10.1088/0305-4470/27/19/025
On Universal R-Matrix for Quantized Nontwisted Rank-3 Affine Km Algebras (Vol 29, Pg 19, 1993)
Zhang, Y. Z. and Gould, M. D. (1994). On Universal R-Matrix for Quantized Nontwisted Rank-3 Affine Km Algebras (Vol 29, Pg 19, 1993). Letters in Mathematical Physics, 32 (1), 83-83.
Quantum Affine Algebras and Universal R-Matrix with Spectral Parameter
Zhang, YZ and Gould, MD (1994). Quantum Affine Algebras and Universal R-Matrix with Spectral Parameter. Letters in Mathematical Physics, 31 (2), 101-110. doi: 10.1007/BF00750144
Casimir Invariants for Quantized Affine Lie-Algebras
Gould, MD and Zhang, YZ (1994). Casimir Invariants for Quantized Affine Lie-Algebras. Letters in Mathematical Physics, 31 (1), 77-83. doi: 10.1007/BF00751173
Quantized Affine Lie-Algebras and Diagonalization of Braid Generators
Gould, MD and Zhang, YZ (1994). Quantized Affine Lie-Algebras and Diagonalization of Braid Generators. Letters in Mathematical Physics, 30 (4), 267-277. doi: 10.1007/BF00751063
Unitarity and Complete Reducibility of Certain Modules Over Quantized Affine Lie-Algebras
Zhang, YZ and Gould, MD (1993). Unitarity and Complete Reducibility of Certain Modules Over Quantized Affine Lie-Algebras. Journal of Mathematical Physics, 34 (12), 6045-6059. doi: 10.1063/1.530249
On Universal R-Matrix for Quantized Nontwisted Rank 3 Affine Km Algebras
Zhang, YZ and Gould, MD (1993). On Universal R-Matrix for Quantized Nontwisted Rank 3 Affine Km Algebras. Letters in Mathematical Physics, 29 (1), 19-32. doi: 10.1007/BF00760855
Affine Yang-Mills Theory and Affine Self-Dual Chern-Simons Solitons
Zhang, YZ (1992). Affine Yang-Mills Theory and Affine Self-Dual Chern-Simons Solitons. Letters in Mathematical Physics, 26 (3), 219-226. doi: 10.1007/BF00420755
Loop Group-Valued Cs and Wznw Models, Integrable Systems, and Self-Dual Yang-Mills Theory
Zhang, YZ (1992). Loop Group-Valued Cs and Wznw Models, Integrable Systems, and Self-Dual Yang-Mills Theory. Letters in Mathematical Physics, 26 (3), 227-233. doi: 10.1007/BF00420756
On Classical Exchange Algebra of the Affine (2-Loop) Wznw Model
Zhang, YZ (1992). On Classical Exchange Algebra of the Affine (2-Loop) Wznw Model. Nuovo Cimento Della Societa Italiana Di Fisica A-Nuclei Particles and Fields, 105 (11), 1673-1678. doi: 10.1007/BF02731081
Superconformal Affine Liouville Theory
Toppan, F and Zhang, YZ (1992). Superconformal Affine Liouville Theory. Physics Letters B, 292 (1-2), 67-76. doi: 10.1016/0370-2693(92)90609-8
N-Extended Super-Liouville Theory From Osp (n-Vertical-Bar-2) Wznw Model
Zhang, YZ (1992). N-Extended Super-Liouville Theory From Osp (n-Vertical-Bar-2) Wznw Model. Physics Letters B, 283 (3-4), 237-242. doi: 10.1016/0370-2693(92)90014-U
Affine (2-Loop) Wznw Model, Reduction and Spontaneous Breakdown of Conformal Symmetry
Zhang, YZ (1992). Affine (2-Loop) Wznw Model, Reduction and Spontaneous Breakdown of Conformal Symmetry. Modern Physics Letters a, 7 (16), 1399-1409. doi: 10.1142/S0217732392001075
Affine Cs Theories and Wznw Models
Bonora, L, Martellini, M and Zhang, YZ (1991). Affine Cs Theories and Wznw Models. Nuclear Physics B, 365 (3), 655-679. doi: 10.1016/0550-3213(91)90514-X
Generalized Sine-Gordon Theory and Perturbed Sl(2)kappa Wznw Model
Zhang, YZ (1991). Generalized Sine-Gordon Theory and Perturbed Sl(2)kappa Wznw Model. Modern Physics Letters a, 6 (22), 2023-2032. doi: 10.1142/S0217732391002190
Sl(2)k Wznw Models, Perturbations and Integrable Models
Bonora, L, Zhang, YZ and Martellini, M (1991). Sl(2)k Wznw Models, Perturbations and Integrable Models. International Journal of Modern Physics a, 6 (9), 1617-1639. doi: 10.1142/S0217751X9100085X
Affine Cs Theories, Affine Wznw Models and Integrable Models
Bonora, L, Martellini, M and Zhang, YZ (1991). Affine Cs Theories, Affine Wznw Models and Integrable Models. Physics Letters B, 253 (3-4), 373-379. doi: 10.1016/0370-2693(91)91735-E
Derivation of Anomalous Commutator and Jacobian From Very General Conditions
Zhang, YZ (1989). Derivation of Anomalous Commutator and Jacobian From Very General Conditions. Physical Review Letters, 62 (19), 2221-2224. doi: 10.1103/PhysRevLett.62.2221
Some Algebraic Identities in Anomalous Gauge-Theories
Zhang, YZ (1989). Some Algebraic Identities in Anomalous Gauge-Theories. Journal of Physics A-Mathematical and General, 22 (9), L371-L375. doi: 10.1088/0305-4470/22/9/004
Covariant Anomaly and Cohomology in Connection Space
Zhang, YZ (1989). Covariant Anomaly and Cohomology in Connection Space. Physics Letters B, 219 (4), 439-442. doi: 10.1016/0370-2693(89)91091-5
Algebraic Aspects of the Descent Equations
Zhang, YZ (1988). Algebraic Aspects of the Descent Equations. Journal of Physics A-Mathematical and General, 21 (22), L1055-L1057. doi: 10.1088/0305-4470/21/22/003
The Virasoro Algebra and Group in 4 Dimensions
Zhang, YZ (1988). The Virasoro Algebra and Group in 4 Dimensions. Journal of Mathematical Physics, 29 (5), 1241-1243. doi: 10.1063/1.528199
Chiral Jacobian and Wess-Zumino-Witten Term in the Hybrid Chiral Bag Model
Chen, YX, Yue, RH and Zhang, YZ (1988). Chiral Jacobian and Wess-Zumino-Witten Term in the Hybrid Chiral Bag Model. Physics Letters B, 202 (4), 587-590. doi: 10.1016/0370-2693(88)91869-2
Cohomological Analysis in Skyrme Model and Boundary Effect of Chiral Bag Model
Hou, BY, Chen, YX and Zhang, YZ (1988). Cohomological Analysis in Skyrme Model and Boundary Effect of Chiral Bag Model. Scientia Sinica Series A-Mathematical Physical Astronomical & Technical Sciences, 31 (2), 172-182.
Some Remarks On the Extension of Loop-Groups
Hou, BY and Zhang, YZ (1988). Some Remarks On the Extension of Loop-Groups. Journal of Physics A-Mathematical and General, 21 (2), 345-352. doi: 10.1088/0305-4470/21/2/013
Removing Faddeev Commutator Anomaly
Zhang, YZ (1987). Removing Faddeev Commutator Anomaly. Letters in Mathematical Physics, 14 (4), 303-310. doi: 10.1007/BF00402139
Another Construction of the Virasoro Group
Zhang, YZ (1987). Another Construction of the Virasoro Group. Journal of Physics A-Mathematical and General, 20 (11), 3099-3102. doi: 10.1088/0305-4470/20/11/016
Cohomology in Connection Space, Family Index Theorem, and Abelian Gauge Structure
Hou, BY and Zhang, YZ (1987). Cohomology in Connection Space, Family Index Theorem, and Abelian Gauge Structure. Journal of Mathematical Physics, 28 (8), 1709-1715. doi: 10.1063/1.527480
Errata: Comment on the constraint for anomalous Jacobi identity
Huo, Bo-Yu and Zhang, Yao-zhong (1987). Errata: Comment on the constraint for anomalous Jacobi identity. Modern Physics Letters A, 02 (06), 447-447. doi: 10.1142/s0217732387001324
Realization of the 3-Cocycle of the Gauge Group in Hamiltonian-Dynamics
Zhang, YZ (1987). Realization of the 3-Cocycle of the Gauge Group in Hamiltonian-Dynamics. Physics Letters B, 189 (1-2), 149-153. doi: 10.1016/0370-2693(87)91287-1
Zhang, YZ (1987). Exact Calculation of the Fermion Determinant in Chiral Qcd2 Reflecting the Full Regularization Dependence. Zeitschrift Fur Physik C-Particles and Fields, 36 (3), 449-453. doi: 10.1007/BF01573939
Comment on the constraint for anomalous Jacobi identity
Hou, Bo-Yu and Zhang, Yao-zhong (1986). Comment on the constraint for anomalous Jacobi identity. Modern Physics Letters A, 01 (02), 103-110. doi: 10.1142/s0217732386000154
SONG, YS, SHI, JM and ZHANG, YZ (1986). THE EFFECT OF CHARGE CARRIED BY HIGGS FIELDS ON THE PHASE-STRUCTURE OF THE 4-D U(1) VARIED-MODULAR HIGGS-MODEL. Communications in Theoretical Physics, 5 (4), 311-322.
Hoffmann, Scott E., Hussin, Véronique, Marquette, Ian and Zhang, Yao-Zhong (2019). Coherent states for rational extensions and ladder operators related to infinite-dimensional representations. XXVI International Conference on Integrable Systems and Quantum symmetries, Prague, Czech Republic, 8–12 July 2019. Bristol, United Kingdom: Institute of Physics Publishing. doi: 10.1088/1742-6596/1416/1/012013
On superintegrable monopole systems
Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2018). On superintegrable monopole systems. 25th International Conference on Integrable Systems and Quantum Symmetries, ISQS 2017, Prague, Czech Republic, 6-10June 2017. Bristol, United Kingdom: Institute of Physics Publishing. doi: 10.1088/1742-6596/965/1/012018
Family of N-dimensional superintegrable systems and quadratic algebra structures
Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2016). Family of N-dimensional superintegrable systems and quadratic algebra structures. 23rd International Conference on Integrable Systems and Quantum Symmetries, ISQS 2015, Prague, Czech Republic, 23 - 27 June 2015. Bristol, United Kingdom: Institute of Physics Publishing. doi: 10.1088/1742-6596/670/1/012024
Exactly solvable, non-Hermitian BCS Hamiltonian
Moghaddam, Amir , Links, Jon and Zhang, Yao-Zhong (2013). Exactly solvable, non-Hermitian BCS Hamiltonian. XXIX International Colloquium on Group-Theoretical Methods in Physics, Tianjin, China, 20-26 August 2012. City of Singapore, Singapore: World Scientific Publishing.
Solvable 3-Lie algebras with a maximal hypo-nilpotent ideal N
Bai, Rui-Pu, Shen, Cai-Hong and Zhang, Yao-Zhong (2010). Solvable 3-Lie algebras with a maximal hypo-nilpotent ideal N. 3rd International Workshop on Matrix Analysis and Applications, Hangzhou, People's Republic of China, 9-13 July 2009. Pensacola, FL, U.S.A.: International Linear Algebra Society.
Bethe ansatz solutions to quasi exactly solvable difference equations
Sasaki, Ryu, Yang, Wen-Li and Zhang, Yao-Zhong (2009). Bethe ansatz solutions to quasi exactly solvable difference equations. Analytic and Algebraic Methods V, Ukraine, Czech Republic, May 27–28 2009. Tereschenkivska, Ukraine: Natsional'na Akademiya Nauk Ukrainy. doi: 10.3842/SIGMA.2009.104
Drinfeld current realization and vertex operators of Uq[osp(1 | 2)(1)]
Zhang, Y.Z. (1999). Drinfeld current realization and vertex operators of Uq[osp(1 | 2)(1)]. XXII International Colloquium on Group Theoretical Method in Physics, Hobart, 13-17 Jul 1998. Boston: International Press.
On quasi-Hopf and elliptic superalgebras
Zhang, Y.Z. (1999). On quasi-Hopf and elliptic superalgebras. Gauge Theory and Integrable Models, Kyoto, 26-29 January, 1999. Kyoto, Japan: Kyoto University. doi: 10.1143/PTPS.135.182
Drinfeld current realization and vertex operators of U-q[osp(1/2)((1))]
Zhang, YZ (1998). Drinfeld current realization and vertex operators of U-q[osp(1/2)((1))]. 12th International Colloquium on Group Theoretical Methods in Physics (Group 22), Hobart Australia, Jul 13-17, 1998. CAMBRIDGE: INTERNATIONAL PRESS INC BOSTON.
From superintegrability to quasi-exact solvability: theory and application
(2019–2022) ARC Discovery Projects
Constructive representation theory of classical and quantum Lie superalgebras
(2014–2016) ARC Discovery Projects
Mathematical models for disordered critical point theories
(2011–2013) ARC Discovery Projects
Exact analytic methods for disordered critical point theories
(2008) UQ External Support Enabling Grant
Quantum Integrable Systems and Applications: From Condensed Matter to Quantum Information
(2006–2008) ARC Discovery Projects
Quantum many-body systems with long-range interactions
(2004–2006) ARC Linkage International
Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies
(2004) ARC Seed Funding for Research Networks
Metallic nanograins: superconducting correlations, Josephson tunneling and conformal field theory
(2003–2005) ARC Discovery Projects
Algebraic Structures and Correlations in Quantum Many-Body Systems
(2003–2004) ARC Discovery Projects
Quantum Groups and Boundary Integrable Field Theory
(2003–2004) Australian Academy of Science
Quantized Algebraic (Super) Structures and Applications
(2002–2004) ARC Linkage International
Quantum correlations in degenerate Bose gases
(2002) University of Queensland Research Development Grants Scheme
Yangian Structures and Integrable Models with Long-Range Interactions.
(2000) ARC Australian Research Council (Small grants)
Boundary integrable models in condensed matter physics and quantum field theory
(1999) ARC Australian Research Council (Small grants)
Representations and Applications of Quantum Affine Superalgebras
(1999) ARC Australian Research Council (Large grants)
\-deformed (super) conformal field theory & q-(super) strings
(1999) ARC International Research Exchange Program (IREX)
Integrable quantum field theories with boundry interactons
(1997) University of Queensland New Staff Research Grant
Quantum groups and supersymmetry
(1997) UQ External Support Enabling Grant
Superintegrabe systems in curved spaces and algebraic approaches
Doctor Philosophy — Principal Advisor
Other advisors:
A New Theory of Spacetime
Doctor Philosophy — Principal Advisor
Other advisors:
Quadratic Algebras and Their Casimir Invariant
Doctor Philosophy — Associate Advisor
Other advisors:
Deformations of supersymmetric quantum field theories and gravity
Doctor Philosophy — Associate Advisor
Other advisors:
Supersymmetric field theories on curved manifolds and applications
Doctor Philosophy — Associate Advisor
Solvable supersymmetric field theories, string theory and AdS/CFT
Doctor Philosophy — Associate Advisor
Other advisors:
Coherent states and scattering for exactly solvable quantum systems
(2020) Doctor Philosophy — Principal Advisor
Other advisors:
New families of exactly solvable many-body models and superintegrable systems
(2019) Master Philosophy — Principal Advisor
Other advisors:
Superintegrable systems, polynomial algebra structures and exact derivations of spectra
(2018) Doctor Philosophy — Principal Advisor
Other advisors:
Exact Solutions of Quasi-exactly Solvable Quantum Systems
(2014) Doctor Philosophy — Principal Advisor
Other advisors:
FREE FIELD REALIZATION OF CURRENT SUPERALGEBRAS AND BOSONIZATION OF PARAFERMIONIC ALGEBRAS
(2013) Doctor Philosophy — Principal Advisor
Other advisors:
Lie Algebra Deformations and the Exact Solutions of Integrable Quantum Many-Body Systems.
(2012) Doctor Philosophy — Principal Advisor
Other advisors:
Inner Geometric Structures of Gauge Fields and Topological Excitations
() Doctor Philosophy — Principal Advisor
Extended Galilean Conformal Algebras in Two Dimensions
(2015) Master Philosophy — Associate Advisor
Other advisors:
(2014) Doctor Philosophy — Associate Advisor
Other advisors:
MASSLESS NEUTRINO MIXING
(2006) Doctor Philosophy — Associate Advisor
Note for students: The possible research projects listed on this page may not be comprehensive or up to date. Always feel free to contact the staff for more information, and also with your own research ideas.
R-matrices without difference property and related integrable models
Superintegrable models and polynomial algebraic structures
Aspects of quantum Rabi type spin boson systems