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Supporter of LMS Good Practice Award

Publications

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2011
Marquette I.  2011.  Generalized Heisenberg algebras, SUSYQM and degeneracies: Infinite well and Morse potential. SIGMA. 7(024)
Marquette I.  2011.  Generalized Kaluza-Klein monopole, quadratic algebras and ladder operators. J.Phys.A. 44
Marquette I.  2011.  An infinite family of superintegrable systems from higher order ladder operators and supersymmetry. 28th International Colloquium on Group - Theoretical Methods in Physics. 284:012047.
Marquette I.  2011.  Quadratic algebra approach to relativistic quantum Smorodinsky-Winternitz systems. J.Math.Phys.. 52
2010
Marquette I.  2010.  Generalized MICZ-Kepler system, duality, polynomial and deformed oscillator algebras. J. Math. Phys.. 51(10)
Marquette I.  2010.  Construction of classical superintegrable systems with higher integrals of motion from ladder operators. J. Math. Phys.. 51(7)
Marquette I.  2010.  Superintegrability and higher order polynomial algebras. J.Phys A: Math. Gen. . 43
2009
Marquette I.  2009.  Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. I. Rational function potentials. J. Math. Phys.. 50(1)
Marquette I.  2009.  Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. II. Painlevé transcendent potentials. J. Math. Phys.. 50(9)
Marquette I.  2009.  Supersymmetry as a method of obtaining new superintegrable systems with higher order integrals of motion. Journal of Mathematical Physics. 50
2008
Marquette I.  2008.  Polynomial Associative Algebras for Quantum Superintegrable Systems with a Third Order Integral of Motion. Symmetries and Overdetermined Systems of Partial Differential Equations. 144
Marquette I, Winternitz P.  2008.  Superintegrable Systems with a Third Order Integrals of Motion . J. Phys. A: Math. Theor.. 41
2007
Marquette I, Winternitz P.  2007.  Polynomial Poisson algebras for classical superintegrable systems with a third-order integral of motion. J. Math. Phys.. 48(1)

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