Dr Ian Marquette

Research group:

Mathematical Physics

BSc Math & Physics (Montreal), PhD (Montreal)

Past staff member

2011

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. 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. Quadratic algebra approach to relativistic quantum Smorodinsky-Winternitz systems. J.Math.Phys.. 52

2010

Marquette, I. 2010. Construction of classical superintegrable systems with higher integrals of motion from ladder operators. J. Math. Phys.. 51(7)

Marquette, I. 2010. Generalized MICZ-Kepler system, duality, polynomial and deformed oscillator algebras. J. Math. Phys.. 51(10)

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)

Attachment	Size
Superintegrability_Lecture_1.pdf	759.71 KB
Superintegrability_Lecture_2.pdf	704.58 KB
Superintegrability_Lecture_3.pdf	436.72 KB

Edited 23 Sep 2011 - 11:13 by cac7

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Contact Details

Dr Ian Marquette
Department of Mathematics
University of York
York, YO10 5DD

im553@york.ac.uk

Tel:	+44 1904 32 3079
Fax:	+44 1904 32 3071
Office:	G/012