The University of Queensland

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

Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras

Gould, Mark D., Isaac, Phillip Simon and Werry, Jason (2022). Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras. Journal of Physics A: Mathematical and Theoretical, 55 (23) 235201, 235201. doi: 10.1088/1751-8121/ac6715

Homogeneous metrics with prescribed Ricci curvature on spaces with non-maximal isotropy

Gould, Mark and Pulemotov, Artem (2022). Homogeneous metrics with prescribed Ricci curvature on spaces with non-maximal isotropy. Communications in Analysis and Geometry, 30 (8), 1849-1893. doi: 10.4310/cag.2022.v30.n8.a8

Invariants and matrix elements of the quantum group U_q[gl(n, C)] revisited

Gould, Mark D. and Isaac, Phillip Simon (2019). Invariants and matrix elements of the quantum group Uq[gl(n, C)] revisited. Journal of Physics A: Mathematical and Theoretical, 52 (29) 295201, 295201. doi: 10.1088/1751-8121/ab2676

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

Reduced Wigner coefficients for Lie superalgebra gl(m|n) corresponding to unitary representations and beyond

Werry, Jason L., Isaac, Phillip S. and Gould, Mark D. (2017). Reduced Wigner coefficients for Lie superalgebra gl(m|n) corresponding to unitary representations and beyond. Journal of Physics A: Mathematical and Theoretical, 50 (36) 365202, 365202. doi: 10.1088/1751-8121/aa8119

Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(m|n)

Werry, Jason L., Gould, Mark D. and Isaac, Phillip S. (2015). Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(m|n). Journal of Mathematical Physics, 56 (12) 121703, 121703-1-121703-19. doi: 10.1063/1.4938076

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

Reduced matrix elements of the orthosymplectic Lie superalgebra

Gould, Mark D. and Isaac, Phillip S. (2015). Reduced matrix elements of the orthosymplectic Lie superalgebra. Journal of Physics A: Mathematical and Theoretical, 48 (2) 025201, 1-39. doi: 10.1088/1751-8113/48/2/025201

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

Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n)

Gould, Mark D., Isaac, Phillip S. and Werry, Jason L. (2014). Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n). Journal of Mathematical Physics, 55 (011703) 011703, 011703.1-011703.32. doi: 10.1063/1.4861706

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

Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n)

Gould, Mark D., Isaac, Phillip S. and Werry, Jason L. (2013). Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n). Journal of Mathematical Physics, 54 (1) 013505, 013505. doi: 10.1063/1.4773573

A definition for the covalent and ionic bond index in a molecule

Gould, Mark D., Taylor, Christopher, Wolff, Stephen K., Chandler, Graham S. and Jayatilaka, Dylan (2008). A definition for the covalent and ionic bond index in a molecule. Theoretical Chemistry Accounts, 119 (1-3), 275-290. doi: 10.1007/s00214-007-0282-x

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

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

Lax operator for the quantised orthosymplectic superalgebra Uq[osp(m\n)]

Dancer, K. A., Gould, M. D. and Links, J. (2007). Lax operator for the quantised orthosymplectic superalgebra Uq[osp(m\n)]. Algebras and Representation Theory, 10 (6), 593-617. doi: 10.1007/s10468-007-9049-2

Lax operator for the quantized orthosymplectic superalgebra Uq[osp(2|n)]

Dancer, K. A., Gould, M. D. and Links, J. (2006). Lax operator for the quantized orthosymplectic superalgebra Uq[osp(2|n)]. Journal of Statistical Mechanics: Theory and Experiment, 2006 (6) P06011, P06011-1-P06011-19. doi: 10.1088/1742-5468/2006/06/P06011

Unitary R-matrices for topological quantum computing

Burton, P. J. and Gould, M. D. (2006). Unitary R-matrices for topological quantum computing. Reports on Mathematical Physics, 57 (1), 89-96. doi: 10.1016/S0034-4877(06)80010-8

Generalized Perk-Schultz models: solutions of the Yang-Baxter equation associated with quantized orthosymplectic superalgebras

Mehta, M., Dancer, K. A., Gould, M. D. and Links, J. R. (2006). Generalized Perk-Schultz models: solutions of the Yang-Baxter equation associated with quantized orthosymplectic superalgebras. Journal of Physics A: Mathematical and General, 39 (1), L17-L26. doi: 10.1088/0305-4470/39/1/L03

Eigenvalues of Casimir invariants for Uq[osp(m|n)]

Dancer, K. A., Gould, M. D. and Links, J. R. (2005). Eigenvalues of Casimir invariants for Uq[osp(m|n)]. Journal of Mathematical Physics, 46 (12) 123501, 123501-1-123501-20. doi: 10.1063/1.2137712

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

Some twisted results

Gould, MD and Lekatsas, T (2005). Some twisted results. Journal of Physics A-mathematical And General, 38 (47), 10123-10144. doi: 10.1088/0305-4470/38/47/006

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

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

Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose-Einstein condensates and metallic nanograins

Links, Jon, Zhou, Huan-Qiang, McKenzie, Ross H. and Gould, Mark D. (2003). Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose-Einstein condensates and metallic nanograins. Journal of Physics A: Mathematical and General, 36 (19), R63-R104. doi: 10.1088/0305-4470/36/19/201

Algebraic Bethe ansatz for integrable one-dimensional extended Hubbard models with open boundary conditions

Ge, XY and Gould, MD (2003). Algebraic Bethe ansatz for integrable one-dimensional extended Hubbard models with open boundary conditions. Journal of Physics A-mathematical And General, 36 (7), 1801-1825. doi: 10.1088/0305-4470/36/7/302

Solvable models of Bose-Einstein condensates: A new algebraic Bethe ansatz scheme

Zhou, H. Q., Links, J., Gould, M. D. and McKenzie, R. H. (2003). Solvable models of Bose-Einstein condensates: A new algebraic Bethe ansatz scheme. Journal of Mathematical Physics, 44 (10), 4690-4701. doi: 10.1063/1.1605495

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

Twisted parafermions

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

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

Exact solution at integrable coupling of a model for the Josephson effect between small metallic grains

Links, J., Zhou, H. Q., McKenzie, R. H. and Gould, M. D. (2002). Exact solution at integrable coupling of a model for the Josephson effect between small metallic grains. International Journal of Modern Physics B, 16 (23), 3429-3438. doi: 10.1142/S0217979202011949

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

Integrability and exact spectrum of a pairing model for nucleons

Links, J. R., Zhou, H., Gould, M. D. and McKenzie, R. H. (2002). Integrability and exact spectrum of a pairing model for nucleons. Journal of Physics A: Mathematical and General, 35 (2) 317, 6459-6469. doi: 10.1088/0305-4470/35/30/317

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

Reply to comment on `Integrable Kondo impurity in one-dimensional q-deformed t - J models

Ge, X., Gould, M. D., Links, J. R. and Zhou, H. (2002). Reply to comment on `Integrable Kondo impurity in one-dimensional q-deformed t - J models. Journal of Physics A: Mathematical and General, 35 (29) 403, 6197-6201. doi: 10.1088/0305-4470/35/29/403

Superconducting Correlations in Metallic Nanoparticles: Exact Solution of the BCS Model by the Algebraic Bethe Ansatz

Zhou, Huan-Qiang, Links, Jon, McKenzie, Ross H. and Gould, Mark D. (2002). Superconducting Correlations in Metallic Nanoparticles: Exact Solution of the BCS Model by the Algebraic Bethe Ansatz. Physical Review B, 65 (6) 060502, 060502-1-060502-4. doi: 10.1103/PhysRevB.65.060502

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

On Quasi-Hopf Superalgebras

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

Algebraic Bethe ansatz for integrable extended Hubbard models arising from supersymmetric group solutions

Bracken, Anthony J., Ge, Xiang-Yu, Gould, Mark D., Links, Jon and Zhou, Huan-Qiang (2001). Algebraic Bethe ansatz for integrable extended Hubbard models arising from supersymmetric group solutions. Journal of Physics A-mathematical And General, 34 (21), 4459-4474. doi: 10.1088/0305-4470/34/21/304

Ladder operator for the one-dimensional Hubbard model

Links, Jon, Zhou, Huan-Qiang, McKenzie, Ross H. and Gould, Mark D. (2001). Ladder operator for the one-dimensional Hubbard model. Physical Review Letters, 86 (22), 5096-5099. doi: 10.1103/PhysRevLett.86.5096

Integrable Kondo impurity in one-dimensional q-deformed t-J models

Ge, X. Y., Gould, M. D., Links, J. and Zhou, H. Q. (2001). Integrable Kondo impurity in one-dimensional q-deformed t-J models. Journal of Physics A-mathematical And General, 34 (41), 8543-8561. doi: 10.1088/0305-4470/34/41/311

Integrable extended hubbard models with boundary Kondo impurities

Bracken, A. J., Ge, X. Y., Gould, M. D. and Zhou, H. Q. (2001). Integrable extended hubbard models with boundary Kondo impurities. Bulletin of The Australian Mathematical Society, 64 (3), 445-467. doi: 10.1017/S0004972700019912

Integrable open boundary conditions for the Bariev model of three coupled X Y spin chains

Foerster, A, Gould, MD, Guan, XW, Roditi, I and Zhou, HQ (2001). Integrable open boundary conditions for the Bariev model of three coupled X Y spin chains. Nuclear Physics B, 612 (3), 461-478. doi: 10.1016/S0550-3213(01)00354-6

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

Integrable Kondo impurities in one-dimensional extended Hubbard models

Zhou, H-Q, Ge, X. Y., Links, J. R. and Gould, M. D. (2000). Integrable Kondo impurities in one-dimensional extended Hubbard models. Physical Review B, 62 (8), 4906-4921. doi: 10.1103/PhysRevB.62.4906

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

U-q[(sl(2)over-cap vertical bar 1)] vertex operators, screen currents, and correlation functions at an arbitrary level

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.

Algebraic Bethe ansatz for integrable Kondo impurities in the one-dimensional supersymmetric t-J model

Zhou, HQ and Gould, MD (1999). Algebraic Bethe ansatz for integrable Kondo impurities in the one-dimensional supersymmetric t-J model. Physics Letters A, 251 (4), 279-285. doi: 10.1016/S0375-9601(98)00885-8

Eigenvalues of Casimir operators for gl(m/infinity)

Gould, MD and Stoilova, NI (1999). Eigenvalues of Casimir operators for gl(m/infinity). Journal of Physics A-mathematical And General, 32 (2), 391-399. doi: 10.1088/0305-4470/32/2/012

Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional t-J model

Zhou, H.Q., Ge, X.Y., Links, J and Gould, M.D. (1999). Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional t-J model. Nuclear Physics B, 546 (3), 779-799. doi: 10.1016/S0550-3213(99)00085-1

Integrable Kondo impurities in the one-dimensional supersymmetric U model of strongly correlated electrons

Zhou, H., Ge, X. and Gould, M. D. (1999). Integrable Kondo impurities in the one-dimensional supersymmetric U model of strongly correlated electrons. Journal of Physics A-mathematical And General, 32 (A), L137-L142. doi: 10.1088/0305-4470/32/12/002

Integrable Kondo impurities in the one-dimensional supersymmetric extended Hubbard model

Zhou, H., Ge, X. and Gould, M. D. (1999). Integrable Kondo impurities in the one-dimensional supersymmetric extended Hubbard model. Journal of Physics A: Mathematical and General, 32 (A), 5383-5388. doi: 10.1088/0305-4470/32/28/315

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

Quasispin graded-fermion formalism and gl(m vertical bar n)down arrow osp(m vertical bar n) branching rules

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

Matrix elements of U(2n) generators in a multishell spin-orbit basis. I. The del-operator MEs in a two-shell composite Gelfand-Paldus basis

Burton, P. J. and Gould, M. D. (1998). Matrix elements of U(2n) generators in a multishell spin-orbit basis. I. The del-operator MEs in a two-shell composite Gelfand-Paldus basis. International Journal of Quantum Chemistry, 66 (5), 323-343. doi: 10.1002/(SICI)1097-461X(1998)66:5

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

A new two-parameter integrable model of strongly correlated fermions with quantum superalgebra symmetry

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

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

Matrix elements of U(2n) generators in a multishell spin-orbit basis. II. The two-shell nonzero shift ACCs and U(2n) generator MEs

Burton, PJ and Gould, MD (1998). Matrix elements of U(2n) generators in a multishell spin-orbit basis. II. The two-shell nonzero shift ACCs and U(2n) generator MEs. International Journal of Quantum Chemistry, 66 (5), 345-363. doi: 10.1002/(SICI)1097-461X(1998)66:5<345::AID-QUA2>3.3.CO;2-I

Matrix elements of U(2n) generators in a multishell spin-orbit basis. III. General formulas

Burton, PJ and Gould, MD (1998). Matrix elements of U(2n) generators in a multishell spin-orbit basis. III. General formulas. International Journal of Quantum Chemistry, 66 (5), 365-375. doi: 10.1002/(SICI)1097-461X(1998)66:5<365::AID-QUA3>3.0.CO;2-T

Off-diagonal long-range order in a supersymmetric integrable model of correlated electrons

Links, J, Hibberd, K, Gould, M and Foerster, A (1998). Off-diagonal long-range order in a supersymmetric integrable model of correlated electrons. European Physical Journal B, 5 (3), 309-312. doi: 10.1007/s100510050447

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

The structure of quantum Lie algebras for the classical series, B-l, C-l and D-l

Delius, GW, Gardner, C and Gould, MD (1998). The structure of quantum Lie algebras for the classical series, B-l, C-l and D-l. Journal of Physics A-mathematical And General, 31 (8), 1995-2019. doi: 10.1088/0305-4470/31/8/012

Casimir invariants and characteristic identities for gl(infinity)

Gould, MD and Stoilova, NI (1997). Casimir invariants and characteristic identities for gl(infinity). Journal of Mathematical Physics, 38 (9), 4783-4793. doi: 10.1063/1.532123

Eigenvalues of Casimir invariants for unitary irreps of Uq(gl(m vertical bar n))

Gould, MD and Links, JR (1997). Eigenvalues of Casimir invariants for unitary irreps of Uq(gl(m vertical bar n)). Journal of Physics A-mathematical And General, 30 (5), 1613-1627. doi: 10.1088/0305-4470/30/5/024

Quantum Lie algebras, their existence, uniqueness and q-antisymmetry

Delius, GW and Gould, MD (1997). Quantum Lie algebras, their existence, uniqueness and q-antisymmetry. Communications In Mathematical Physics, 185 (3), 709-722. doi: 10.1007/s002200050107

Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model

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

Integrable systems on open chains with quantum supersymmetry

Links, JR and Gould, MD (1996). Integrable systems on open chains with quantum supersymmetry. International Journal of Modern Physics B, 10 (25), 3461-3480. doi: 10.1142/S0217979296001859

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

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

General eigenvalue formula for Casimir invariants of type I quantum superalgebras

Gould, MD and Links, JR (1996). General eigenvalue formula for Casimir invariants of type I quantum superalgebras. Journal of Mathematical Physics, 37 (5), 2426-2456. doi: 10.1063/1.531519

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

Matrix elements of U(2n) generators in a multishell spin-orbit basis .1. General formalism

Burton, PJ and Gould, MD (1996). Matrix elements of U(2n) generators in a multishell spin-orbit basis .1. General formalism. Journal of Chemical Physics, 104 (13), 5112-5133. doi: 10.1063/1.471139

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

A q-superdimension formula for irreps of type I quantum superalgebras

Links, JR and Gould, MD (1996). A q-superdimension formula for irreps of type I quantum superalgebras. Journal of Mathematical Physics, 37 (1), 484-492. doi: 10.1063/1.531403

Algebraic Bethe ansatz for the anisotropic supersymmetric U model

Hibberd, KE, Gould, MD and Links, JR (1996). Algebraic Bethe ansatz for the anisotropic supersymmetric U model. Journal of Physics A-mathematical And General, 29 (24), 8053-8065. doi: 10.1088/0305-4470/29/24/028

Algebraic Bethe ansatz for the supersymmetric U model

Hibberd, K. E., Gould, M. D. and Links, J. R. (1996). Algebraic Bethe ansatz for the supersymmetric U model. Physical Review B: Condensed Matter and Materials Physics, 54 (12), 8430-8437. doi: 10.1103/PhysRevB.54.8430

Solutions of the Yang-Baxter Equation with Extra Nonadditive Parameters .2. U-Q(gl(m-Vertical-Bar-N))

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

The Graphical Spin Algebra Method Applied to U(2N) Generators

Lucht, MW and Gould, MD (1995). The Graphical Spin Algebra Method Applied to U(2N) Generators. Journal of Chemical Physics, 103 (13), 5590-5599. doi: 10.1063/1.470542

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

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

Classification of Finite-Dimensional Unitary Irreps for U-Q[Gl(M-Vertical-Bar-N)]

Gould, MD and Scheunert, M (1995). Classification of Finite-Dimensional Unitary Irreps for U-Q[Gl(M-Vertical-Bar-N)]. Journal of Mathematical Physics, 36 (1), 435-452. doi: 10.1063/1.531317

Classification of Unitary and Grade Star Irreps for U-Q(Osp(2-Vertical-Bar-2N))

Links, JR and Gould, MD (1995). Classification of Unitary and Grade Star Irreps for U-Q(Osp(2-Vertical-Bar-2N)). Journal of Mathematical Physics, 36 (1), 531-545. doi: 10.1063/1.531321

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

Tensor Product Decompositions for Affine Kac-Moody Algebras

Gould, MD (1994). Tensor Product Decompositions for Affine Kac-Moody Algebras. Reviews in Mathematical Physics, 6 (6), 1269-1299. doi: 10.1142/S0129055X94000456

Diagonalization of the Braid Generator On Unitary Irreps of Quantum Supergroups

Links, JR, Scheunert, M and Gould, MD (1994). Diagonalization of the Braid Generator On Unitary Irreps of Quantum Supergroups. Letters in Mathematical Physics, 32 (3), 231-240. doi: 10.1007/BF00750665

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

Quantum Double Finite-Group Algebras and Link Polynomials

Tsohantjis, I and Gould, MD (1994). Quantum Double Finite-Group Algebras and Link Polynomials. Bulletin of the Australian Mathematical Society, 49 (2), 177-204. doi: 10.1017/S0004972700016270

Quasi-Spin and the Pseudo-Orthogonal Group in the Hubbard-Model

Gould, MD, Paldus, J and Cizek, J (1994). Quasi-Spin and the Pseudo-Orthogonal Group in the Hubbard-Model. International Journal of Quantum Chemistry, 50 (3), 207-231. doi: 10.1002/qua.560500306

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

Quantum Double Finite-Group Algebras and Their Representations

Gould, MD (1993). Quantum Double Finite-Group Algebras and Their Representations. Bulletin of the Australian Mathematical Society, 48 (2), 275-301. doi: 10.1017/S0004972700015707

Spin-Dependent Unitary-Group Approach .2. Derivation of Matrix-Elements for Spin-Dependent Operators

Gould, MD and Battle, JS (1993). Spin-Dependent Unitary-Group Approach .2. Derivation of Matrix-Elements for Spin-Dependent Operators. Journal of Chemical Physics, 99 (8), 5961-5975. doi: 10.1063/1.465895

Spin-Dependent Unitary-Group Approach to the Pauli-Breit Hamiltonian .2. 1St-Order Energy-Level Shifts Due to Spin-Spin Interaction

Gould, MD and Battle, JS (1993). Spin-Dependent Unitary-Group Approach to the Pauli-Breit Hamiltonian .2. 1St-Order Energy-Level Shifts Due to Spin-Spin Interaction. Journal of Chemical Physics, 99 (8), 5983-5994. doi: 10.1063/1.465897

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

Quantum Supergroups and Link Polynomials

Gould, MD, Tsohantjis, I and Bracken, AJ (1993). Quantum Supergroups and Link Polynomials. Reviews in Mathematical Physics, 5 (3), 533-549. doi: 10.1142/S0129055X93000152

Unitary-Group Approach to Reduced Density-Matrices .2. One-Electron Charge and Spin-Density Algebra

Paldus, J and Gould, MD (1993). Unitary-Group Approach to Reduced Density-Matrices .2. One-Electron Charge and Spin-Density Algebra. Theoretica Chimica Acta, 86 (1-2), 83-96. doi: 10.1007/BF01113516

Quantum Double Construction for Graded Hopf-Algebras

Gould, MD, Zhang, RB and Bracken, AJ (1993). Quantum Double Construction for Graded Hopf-Algebras. Bulletin of the Australian Mathematical Society, 47 (3), 353-375. doi: 10.1017/S0004972700015197

Quantum Supergroups, Link Polynomials and Representation of the Braid Generator

Links, JR, Gould, MD and Zhang, RB (1993). Quantum Supergroups, Link Polynomials and Representation of the Braid Generator. Reviews in Mathematical Physics, 5 (2), 345-361. doi: 10.1142/S0129055X93000097

Spin-Dependent Unitary-Group Approach to the Pauli-Breit Hamiltonian .1. 1St-Order Energy-Level Shifts Due to Spin-Orbit Interactions

Gould, MD and Battle, JS (1993). Spin-Dependent Unitary-Group Approach to the Pauli-Breit Hamiltonian .1. 1St-Order Energy-Level Shifts Due to Spin-Orbit Interactions. Journal of Chemical Physics, 98 (11), 8843-8851. doi: 10.1063/1.464494

Boson-Fermion Models for Osp(1,2) and Uq[Osp(1,2)]

Bracken, AJ, Gould, MD and Tsohantjis, I (1993). Boson-Fermion Models for Osp(1,2) and Uq[Osp(1,2)]. Journal of Mathematical Physics, 34 (5), 1654-1664. doi: 10.1063/1.530182

Raising and lowering operators for Uq(gl(n))

Links, J. and Gould, M. D. (1993). Raising and lowering operators for Uq(gl(n)). Journal of Mathematical Physics, 34 (4), 1577-1586. doi: 10.1063/1.530175

Baxterization of the R-Matrix for the Adjoint Representation of Uq[D(2, 1-Alpha)]

Links, JR, Gould, MD and Tsohantjis, I (1993). Baxterization of the R-Matrix for the Adjoint Representation of Uq[D(2, 1-Alpha)]. Letters in Mathematical Physics, 27 (1), 51-58. doi: 10.1007/BF00739589

Formulas for the Spin-Dependent Unitary-Group Approach

Battle, JS and Gould, MD (1993). Formulas for the Spin-Dependent Unitary-Group Approach. Chemical Physics Letters, 201 (1-4), 284-293. doi: 10.1016/0009-2614(93)85072-V

2 Variable Link Polynomials From Quantum Supergroups

Links, JR and Gould, MD (1992). 2 Variable Link Polynomials From Quantum Supergroups. Letters in Mathematical Physics, 26 (3), 187-198. doi: 10.1007/BF00420752

The pattern calculus for tensor operators in quantum groups

Gould, Mark and Biedenharn, L. C. (1992). The pattern calculus for tensor operators in quantum groups. Journal of Mathematical Physics, 33 (11), 3613-3635. doi: 10.1063/1.529909

A Unitary-Group Formulation of the Complete Active Space Configuration-Interaction Method .2. An Approach Based On the Subgroup Chain U(N=N0+N1+N2)Superset-of-or-Equal-to-U(N0)Xu(N1+N2)Superset-of-or-Equal-to-U(N0)Xu(N1)Xu(N2)

Burton, PJ and Gould, MD (1992). A Unitary-Group Formulation of the Complete Active Space Configuration-Interaction Method .2. An Approach Based On the Subgroup Chain U(N=N0+N1+N2)Superset-of-or-Equal-to-U(N0)Xu(N1+N2)Superset-of-or-Equal-to-U(N0)Xu(N1)Xu(N2). Journal of Chemical Physics, 96 (7), 5261-5271. doi: 10.1063/1.462711

Matrix elements and Wigner coefficients for Uq[gl(n)]

Gould, M. D., Links, J. and Bracken, A. J. (1992). Matrix elements and Wigner coefficients for Uq[gl(n)]. Journal of Mathematical Physics, 33 (3), 1008-1022. doi: 10.1063/1.529986

Quantum Groups and Diagonalization of the Braid Generator

Gould, MD (1992). Quantum Groups and Diagonalization of the Braid Generator. Letters in Mathematical Physics, 24 (3), 183-196. doi: 10.1007/BF00402893

Reduced Wigner Coefficients for Uq(Gl(N))

Gould, MD (1992). Reduced Wigner Coefficients for Uq(Gl(N)). Journal of Mathematical Physics, 33 (3), 1023-1031. doi: 10.1063/1.529764

Casimir invariants for Hopf algebras

Links, J. R. and Gould, M. D. (1992). Casimir invariants for Hopf algebras. Reports on Mathematical Physics, 31 (1), 91-111. doi: 10.1016/0034-4877(92)90007-N

Universal-R Matrices and Invariants of Quantum Supergroups

Zhang, RB and Gould, MD (1991). Universal-R Matrices and Invariants of Quantum Supergroups. Journal of Mathematical Physics, 32 (12), 3261-3267. doi: 10.1063/1.529487

Generalized Gelfand Invariants and Characteristic Identities for Quantum Groups

Gould, MD, Zhang, RB and Bracken, AJ (1991). Generalized Gelfand Invariants and Characteristic Identities for Quantum Groups. Journal of Mathematical Physics, 32 (9), 2298-2303. doi: 10.1063/1.529152

Characteristic Identities for Kac-Moody Algebras

Gould, MD and Jarvis, PD (1991). Characteristic Identities for Kac-Moody Algebras. Letters in Mathematical Physics, 22 (2), 91-100. doi: 10.1007/BF00405172

From Representations of the Braid Group to Solutions of the Yang-Baxter Equation

Zhang, RB, Gould, MD and Bracken, AJ (1991). From Representations of the Braid Group to Solutions of the Yang-Baxter Equation. Nuclear Physics B, 354 (2-3), 625-652. doi: 10.1016/0550-3213(91)90369-9

A Q-Analog of Bargmann Space and its Scalar Product

Bracken, AJ, McAnally, DS, Zhang, RB and Gould, MD (1991). A Q-Analog of Bargmann Space and its Scalar Product. Journal of Physics A-Mathematical and General, 24 (7) 015, 1379-1391. doi: 10.1088/0305-4470/24/7/015

Generalized Gelfand Invariants of Quantum Groups

Zhang, RB, Gould, MD and Bracken, AJ (1991). Generalized Gelfand Invariants of Quantum Groups. Journal of Physics A-Mathematical and General, 24 (5) 009, 937-943. doi: 10.1088/0305-4470/24/5/009

Solution of the Graded Yang-Baxter Equation Associated with the Vector Representation of Uq(Osp(M/2N))

Zhang, RB, Bracken, AJ and Gould, MD (1991). Solution of the Graded Yang-Baxter Equation Associated with the Vector Representation of Uq(Osp(M/2N)). Physics Letters B, 257 (1-2), 133-139. doi: 10.1016/0370-2693(91)90870-V

Solutions of the Graded Classical Yang-Baxter Equation and Integrable Models

Zhang, RB, Gould, MD and Bracken, AJ (1991). Solutions of the Graded Classical Yang-Baxter Equation and Integrable Models. Journal of Physics A-Mathematical and General, 24 (6), 1185-1197. doi: 10.1088/0305-4470/24/6/012

Classification of infinite dimensional irreducible modules for type I Lie superalgebras

Gould, M. D. (1991). Classification of infinite dimensional irreducible modules for type I Lie superalgebras. Reports on Mathematical Physics, 30 (3), 363-380. doi: 10.1016/0034-4877(91)90065-U

Quantum Group Invariants and Link Polynomials

Zhang, RB, Gould, MD and Bracken, AJ (1991). Quantum Group Invariants and Link Polynomials. Communications in Mathematical Physics, 137 (1), 13-27. doi: 10.1007/BF02099115

Branching-Rules for a Class of Typical and Atypical Representations of Gl(M/n)

Gould, MD, Jarvis, PD and Bracken, AJ (1990). Branching-Rules for a Class of Typical and Atypical Representations of Gl(M/n). Journal of Mathematical Physics, 31 (12), 2803-2810. doi: 10.1063/1.528983

Classification of All Star Irreps of Gl(M-N)

Gould, MD and Zhang, RB (1990). Classification of All Star Irreps of Gl(M-N). Journal of Mathematical Physics, 31 (11), 2552-2559. doi: 10.1063/1.529001

Unitary Representations of Basic Classical Lie-Superalgebras

Gould, MD and Zhang, RB (1990). Unitary Representations of Basic Classical Lie-Superalgebras. Letters in Mathematical Physics, 20 (3), 221-229. doi: 10.1007/BF00398365

Unitary-Group Approach to Reduced Density-Matrices

Gould, MD, Paldus, J and Chandler, GS (1990). Unitary-Group Approach to Reduced Density-Matrices. Journal of Chemical Physics, 93 (6), 4142-4153. doi: 10.1063/1.458747

Classification of Star and Grade-Star Representations of C(N+1)

Zhang, RB and Gould, MD (1990). Classification of Star and Grade-Star Representations of C(N+1). Journal of Mathematical Physics, 31 (8), 1889-1894. doi: 10.1063/1.528687

Classification of all star and grade irreps of gl(n/1)

Gould, M. D. and Zhang, R. B. (1990). Classification of all star and grade irreps of gl(n/1). Journal of Mathematical Physics, 31 (6), 1524-1534. doi: 10.1063/1.528695

Spin-Dependent Unitary-Group Approach .1. General Formalism

Gould, MD and Paldus, J (1990). Spin-Dependent Unitary-Group Approach .1. General Formalism. Journal of Chemical Physics, 92 (12), 7394-7401. doi: 10.1063/1.458225

Quantum Supergroups and Solutions of the Yang-Baxter Equation

Bracken, AJ, Gould, MD and Zhang, RB (1990). Quantum Supergroups and Solutions of the Yang-Baxter Equation. Modern Physics Letters a, 5 (11), 831-840. doi: 10.1142/S0217732390000925

Branching-Rules for Typical and Atypical Representations of Gl(N/1)

Gould, MD, Bracken, AJ and Hughes, Jwb (1989). Branching-Rules for Typical and Atypical Representations of Gl(N/1). Journal of Physics A-Mathematical and General, 22 (15), 2879-2896. doi: 10.1088/0305-4470/22/15/008

Representation-Theory of the Symplectic Groups .1.

Gould, MD (1989). Representation-Theory of the Symplectic Groups .1.. Journal of Mathematical Physics, 30 (6), 1205-1218. doi: 10.1063/1.528346

Atypical Representations for Type-I Lie-Superalgebras

Gould, MD (1989). Atypical Representations for Type-I Lie-Superalgebras. Journal of Physics A-Mathematical and General, 22 (9) 012, 1209-1221. doi: 10.1088/0305-4470/22/9/012

A Unitary-Group Formulation of the Complete Active Space Configuration-Interaction Method .1. General Formalism

Gould, MD and Chandler, GS (1989). A Unitary-Group Formulation of the Complete Active Space Configuration-Interaction Method .1. General Formalism. Journal of Chemical Physics, 90 (7), 3680-3685. doi: 10.1063/1.455825

Casimir invariants and infinitesimal characters for semi-simple Lie algebras

Gould, M. D. (1989). Casimir invariants and infinitesimal characters for semi-simple Lie algebras. Reports on Mathematical Physics, 27 (1), 73-111. doi: 10.1016/0034-4877(89)90037-2

Parastatistics and the Clifford-Algebra Unitary-Group Approach to the Many-Electron Correlation-Problem

Gould, MD and Paldus, J (1987). Parastatistics and the Clifford-Algebra Unitary-Group Approach to the Many-Electron Correlation-Problem. Journal of Mathematical Physics, 28 (10), 2304-2309. doi: 10.1063/1.527762

Identities and Characters for Finite-Groups

Gould, MD (1987). Identities and Characters for Finite-Groups. Journal of Physics A-Mathematical and General, 20 (10), 2657-2665. doi: 10.1088/0305-4470/20/10/009

Reduced Characters for Finite-Groups

Gould, MD (1987). Reduced Characters for Finite-Groups. Molecular Physics, 60 (5), 991-1014. doi: 10.1080/00268978700100661

Bases for the Irreducible Representations of O(3) Symmetry Adapted to a Crystallographic Point Group

Gould, MD and Chandler, GS (1987). Bases for the Irreducible Representations of O(3) Symmetry Adapted to a Crystallographic Point Group. International Journal of Quantum Chemistry, 31 (3), 535-563. doi: 10.1002/qua.560310323

Polynomial-Identities for Simple Lie-Superalgebras

Gould, MD (1987). Polynomial-Identities for Simple Lie-Superalgebras. Journal of the Australian Mathematical Society Series B-Applied Mathematics, 28 (3), 310-327. doi: 10.1017/S0334270000005427

Unitary-Group Approach to General System Partitioning .1. Calculation of U(N = N1 + N2) - U(N1) X U(N2) Reduced Matrix-Elements and Reduced Wigner Coefficients

Gould, MD and Paldus, J (1986). Unitary-Group Approach to General System Partitioning .1. Calculation of U(N = N1 + N2) - U(N1) X U(N2) Reduced Matrix-Elements and Reduced Wigner Coefficients. International Journal of Quantum Chemistry, 30 (3), 327-363. doi: 10.1002/qua.560300304

Unitary-Group Approach to General System Partitioning .2. U(N) Matrix Element Evaluation in a Composite Basis

Gould, MD (1986). Unitary-Group Approach to General System Partitioning .2. U(N) Matrix Element Evaluation in a Composite Basis. International Journal of Quantum Chemistry, 30 (3), 365-389. doi: 10.1002/qua.560300305

Multiplicity-Free Wigner Coefficients for Semisimple Lie-Groups .1. the U(N) Pattern Calculus

Gould, MD (1986). Multiplicity-Free Wigner Coefficients for Semisimple Lie-Groups .1. the U(N) Pattern Calculus. Journal of Mathematical Physics, 27 (8), 1944-1963. doi: 10.1063/1.527013

Multiplicity-free Wigner coefficients for semisimple Lie-groups. II. A pattern calculus for O(n)

Gould, M. D. (1986). Multiplicity-free Wigner coefficients for semisimple Lie-groups. II. A pattern calculus for O(n). Journal of Mathematical Physics, 27 (8), 1964-1979. doi: 10.1063/1.527014

Para-Fermi Algebras and the Many-Electron Correlation-Problem

Gould, MD and Paldus, J (1986). Para-Fermi Algebras and the Many-Electron Correlation-Problem. Physical Review a, 34 (2), 804-814. doi: 10.1103/PhysRevA.34.804

A Projection Based Approach to the Clebsch-Gordan Multiplicity Problem for Compact Semisimple Lie-Groups .1. General Formalism

Edwards, SA and Gould, MD (1986). A Projection Based Approach to the Clebsch-Gordan Multiplicity Problem for Compact Semisimple Lie-Groups .1. General Formalism. Journal of Physics A-Mathematical and General, 19 (9), 1523-1529. doi: 10.1088/0305-4470/19/9/022

A Projection Based Approach to the Clebsch-Gordan Multiplicity Problem for Compact Semisimple Lie-Groups .2. Application to U(N)

Edwards, SA and Gould, MD (1986). A Projection Based Approach to the Clebsch-Gordan Multiplicity Problem for Compact Semisimple Lie-Groups .2. Application to U(N). Journal of Physics A-Mathematical and General, 19 (9), 1531-1536. doi: 10.1088/0305-4470/19/9/023

A Projection Based Approach to the Clebsch-Gordan Multiplicity Problem for Compact Semisimple Lie-Groups .3. the Classical Limit

Gould, MD and Edwards, SA (1986). A Projection Based Approach to the Clebsch-Gordan Multiplicity Problem for Compact Semisimple Lie-Groups .3. the Classical Limit. Journal of Physics A-Mathematical and General, 19 (9), 1537-1544. doi: 10.1088/0305-4470/19/9/024

A Projection-Based Solution to the Sp(2N) State Labeling Problem

Gould, MD and Kalnins, EG (1985). A Projection-Based Solution to the Sp(2N) State Labeling Problem. Journal of Mathematical Physics, 26 (7), 1446-1457. doi: 10.1063/1.526908

CORRECTION

GOULD, MD (1985). CORRECTION. International Journal of Quantum Chemistry, 27 (6), 787-801. doi: 10.1002/qua.560270613

Characteristic Identities for Semi-Simple Lie-Algebras

Gould, MD (1985). Characteristic Identities for Semi-Simple Lie-Algebras. Journal of the Australian Mathematical Society Series B-Applied Mathematics, 26 (JAN), 257-283. doi: 10.1017/S0334270000004501

Correction

Gould, MD (1985). Correction. International Journal of Quantum Chemistry, 27 (6), 787-801. doi: 10.1002/qua.560270613

A Spin-Dependent Unitary-Group Approach to Many-Electron Systems

Gould, MD and Chandler, GS (1984). A Spin-Dependent Unitary-Group Approach to Many-Electron Systems. International Journal of Quantum Chemistry, 26 (4), 441-455. doi: 10.1002/qua.560260403

Enveloping Algebra Annihilators and Projection Techniques for Finite-Dimensional Cyclic Modules of a Semisimple Lie-Algebra

Gould, MD and Edwards, SA (1984). Enveloping Algebra Annihilators and Projection Techniques for Finite-Dimensional Cyclic Modules of a Semisimple Lie-Algebra. Journal of Mathematical Physics, 25 (10), 2848-2855. doi: 10.1063/1.526033

Tensor-Operators and Projection Techniques in Infinite Dimensional Representations of Semi-Simple Lie-Algebras

Gould, MD (1984). Tensor-Operators and Projection Techniques in Infinite Dimensional Representations of Semi-Simple Lie-Algebras. Journal of Physics A-Mathematical and General, 17 (1), 1-17. doi: 10.1088/0305-4470/17/1/006

Unitary-Group Approach to the Many-Electron Problem .1. Matrix Element Evaluation and Shift-Operators

Gould, MD and Chandler, GS (1984). Unitary-Group Approach to the Many-Electron Problem .1. Matrix Element Evaluation and Shift-Operators. International Journal of Quantum Chemistry, 25 (3), 553-601. doi: 10.1002/qua.560250311

Unitary-Group Approach to the Many-Electron Problem .2. Adjoint Tensor-Operators for U(N)

Gould, MD and Chandler, GS (1984). Unitary-Group Approach to the Many-Electron Problem .2. Adjoint Tensor-Operators for U(N). International Journal of Quantum Chemistry, 25 (3), 603-633. doi: 10.1002/qua.560250312

Unitary-Group Approach to the Many-Electron Problem .3. Matrix-Elements of Spin-Dependent Hamiltonians

Gould, MD and Chandler, GS (1984). Unitary-Group Approach to the Many-Electron Problem .3. Matrix-Elements of Spin-Dependent Hamiltonians. International Journal of Quantum Chemistry, 25 (6), 1089-1109. doi: 10.1002/qua.560250613

General U(N) Raising and Lowering Operators

Gould, MD (1981). General U(N) Raising and Lowering Operators. Journal of Mathematical Physics, 22 (2), 267-270. doi: 10.1063/1.524898

On the Matrix-Elements of the U(N) Generators

Gould, MD (1981). On the Matrix-Elements of the U(N) Generators. Journal of Mathematical Physics, 22 (1), 15-22. doi: 10.1063/1.524749

Wigner Coefficients for a Semisimple Lie Group and the Matrix-Elements of the O(N) Generators

Gould, MD (1981). Wigner Coefficients for a Semisimple Lie Group and the Matrix-Elements of the O(N) Generators. Journal of Mathematical Physics, 22 (11), 2376-2388. doi: 10.1063/1.524820

Infinitesimal Approach to Semisimple Lie-Groups and Raising and Lowering Operators of O(N) and U(N)

Gould, MD (1980). Infinitesimal Approach to Semisimple Lie-Groups and Raising and Lowering Operators of O(N) and U(N). Journal of Mathematical Physics, 21 (3), 444-453. doi: 10.1063/1.524441

Applications of Characteristic Identity for Gl(N)

Gould, MD (1978). Applications of Characteristic Identity for Gl(N). Annales De L Institut Henri Poincare Section a Physique Theorique, 29 (1), 51-83.

Characteristic identities for Lie (super)algebras

Isaac, Phillip S., Werry, Jason L. and Gould, Mark D. (2015). Characteristic identities for Lie (super)algebras. 30th International Colloquium on Group Theoretical Methods in Physics (Group30), Ghent Belgium, 14-18 July, 2014. Bristol, United Kingdom: Institute of Physics Publishing. doi: 10.1088/1742-6596/597/1/012045

Quasi-Lie algebras and a method for determining non-degeneracy of the quasi-Lie product

Gould, MD and Isaac, PS (1998). Quasi-Lie algebras and a method for determining non-degeneracy of the quasi-Lie product. 12th International Colloquium on Group Theoretical Methods in Physics (Group 22), Hobart Australia, Jul 13-17, 1998. CAMBRIDGE: INTERNATIONAL PRESS INC BOSTON.

U-q[gl(2 vertical bar 1)] and the anisotropic supersymmetric U model

Hibberd, KE, Gould, MD and Links, JR (1998). U-q[gl(2 vertical bar 1)] and the anisotropic supersymmetric U model. 12th International Colloquium on Group Theoretical Methods in Physics (Group 22), Hobart Australia, Jul 13-17, 1998. CAMBRIDGE: INTERNATIONAL PRESS INC BOSTON.

The supersymmetric U model and Bethe ansatz equations

Hibberd, KE, Links, JR and Gould, MD (1997). The supersymmetric U model and Bethe ansatz equations. XXI International Colloquium on Group Theoretical Methods in Physics - Group 21, Goslar Germany, Jul 15-20, 1996. SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD.

Quantum groups and link polynomials

Gould, M. D. (1995). Quantum groups and link polynomials. Confronting the Infinite, Adelaide, SA, Australia, 14-17 February, 1994. River Edge, NJ, USA: World Scientific Publishing.

Quantum groups for physicists

Gould, M. D. (1995). Quantum groups for physicists. Statistical Mechanics and Field Theory: The 7th Physics Summer School, Canberra, ACT, Australia, 10-28 January, 1994. River Edge, NJ, USA: World Scientific Publications.

XIIth International Congress of Mathematical Physics (ICMP'97)

De Wit, D., Bracken, A. J., Gould, M. D. and Pearce, P. A. eds. (1999). XIIth International Congress of Mathematical Physics (ICMP'97). XIIth International Congress of Mathematical Physics (ICMP'97), Univ.of Qld, 13-19 July, 1997. Cambridge, MA (USA): Int. Press ..