Dr Ian Marquette

Research Fellow

Mathematics
Faculty of Science
i.marquette@uq.edu.au
+61 7 334 67952

Overview

Algebraic method in quantum mechanics, integrable and superintegrable systems, BCS model, algebraic Bethe ansatz, supersymmetric quantum mechanics,polynomial algebras, Painleve transcendent and special functions

I'm a post-doctoral research fellow in the School of Mathematics and Physics and a member of the Centre of Mathematical Physics.

Before moving to Brisbane, I spent two years as a postdoctoral research fellow at The University of York in the group of mathematical physics.

I received my PhD in physics from The Universite de Montreal in 2009.

Qualifications

  • Doctor of Philosophy, Université de Montréal
  • Bachelor of Sciences, Université de Montréal

Publications

View all Publications

Publications

Journal Article

Conference Publication

  • Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2016). Family of N-dimensional superintegrable systems and quadratic algebra structures. In: C. Burdik, O. Navratil and S. Posta, XXIII International Conference on Integrable Systems and Quantum Symmetries (ISQS-23). 23rd International Conference on Integrable Systems and Quantum Symmetries, ISQS 2015, Prague, Czech Republic, (). 23 - 27 June 2015. doi:10.1088/1742-6596/670/1/012024

  • Marquette, Ian (2015). New families of superintegrable systems from k-step rational extensions, polynomial algebras and degeneracies. In: 30th International Colloquium on Group Theoretical Methods in Physics (Group30), Ghent, Belgium, (012057.1-012057.10). 14-18 July 2014. doi:10.1088/1742-6596/597/1/012057

  • Marquette, Ian (2011). An infinite family of superintegrable systems from higher order ladder operators and supersymmetry. In: GROUP 28: Physical and mathematical aspects of symmetry: Proceedings of the 28th International Colloquium on Group-Theoretical Methods in Physics. GROUP 28 Conference: XXVIIIth International Colloquium on Group-Theoretical Methods in Physics (ICGTMP), Newcastle upon Tyne, United Kingdom, (012047-1-012047-8). 26–30 July 2010. doi:10.1088/1742-6596/284/1/012047

  • Hussin, Veronique and Marquette, Ian (2011). Generalized Heisenberg algebras, SUSYQM and degeneracies: Infinite well and Morse potential. In: Alexander Andrianov, Veronique Hussin, Javier Negro, Luismi Nieto and Andrei Smilga, Proceedings of the Workshop “Supersymmetric Quantum Mechanics and Spectral Design”. Workshop on Supersymmetric Quantum Mechanics and Spectral Design, Benasque, Spain, (024.1-024.16). 18-30 July 2010. doi:10.3842/SIGMA.2011.024

  • Marquette, Ian (2008). Polynomial associative algebras for quantum superintegrable systems with a third order integral of motion. In: Michael Eastwood and Willard Miller, Symmetries and Overdetermined Systems of Partial Differential Equations. Proceedings. Institute for Mathematics and its Applications: Summer Program 2006, Minneapolis, MN, U.S.A., (461-469). 17 July-4 August, 2006. doi:10.1007/978-0-387-73831-4_24

Grants (Administered at UQ)