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Author statistics

Author Identifier Number of Items Total Downloads
MARQUETTE, I https://orcid.org/0000-0003-4654-6810 23 1188

Items

Title Author(s) IrusType Repository Item URL Total Downloads
A new way to classify 2D higher order quantum superintegrable systems Berntson, Bjorn Karl; Marquette, Ian; Miller, Willard Article University of Queensland [UQ eSpace] 1
Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials Hoque, Md. Fazlul; Marquette, Ian; Post, Sarah; Zhang, Yao-Zhong Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:723350 39
Classical ladder operators, polynomial Poisson algebras, and classification of superintegrable systems Marquette, Ian Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:268452 158
Combined state-adding and state-deleting approaches to type III multi-step rationally extended potentials: applications to ladder operators and superintegrability Marquette, Ian; Quesne, Christiane Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:346276 44
Connection between quantum systems involving the fourth Painlevé transcendent and k-step rational extensions of the harmonic oscillator related to Hermite exceptional orthogonal polynomial Marquette, Ian; Quesne, Christiane Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:395163 54
Construction of classical superintegrable systems with higher order integrals of motion from ladder operators Marquette, Ian Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:259151 72
Deformed oscillator algebra approach of some quantum superintegrable Lissajous systems on the sphere and of their rational extensions Marquette, Ian; Quesne,Christine Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:365606 62
Erratum : Polynomial poisson algebras for classical superintegrable systems with a third order integral of motion (vol 48, art no 012902, 2007) Marquette, I.; Winternitz, P. Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:259768 27
Generalized conformal pseudo-Galilean algebras and their Casimir operators Campoamor-Stursberg, Rutwig; Marquette, Ian Article University of Queensland [UQ eSpace] 10
Generalized five-dimensional Kepler system, Yang-Coulomb monopole, and Hurwitz transformation Marquette, Ian Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:272069 43
Generalized MICZ-Kepler system, duality, polynomial, and deformed oscillator algebras Marquette, Ian Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:259152 68
New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials Marquette, Ian; Quesne, Christiane Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:304151 36
New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems Marquette, Ian; Quesne, Christiane Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:318222 66
Polynomial Poisson algebras for superintegrable systems with a third order integral of motion Marquette, Ian; Winternitz, Pavel Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:259141 54
Quadratic algebra approach to relativistic quantum Smorodinsky-Winternitz systems Marquette, Ian Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:259765 32
Quadratic algebra for superintegrable monopole system in a Taub-NUT space Hoque, Md Fazlul; Marquette, Ian; Zhang, Yao-Zhong Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:408730 51
Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang–Coulomb monopole interaction Hoque, Md Fazlul; Marquette, Ian; Zhang, Yao-Zhong Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:547149 67
Quartic Poisson algebras and quartic associative algebras and realizations as deformed oscillator algebras Marquette, Ian Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:308649 73
Recurrence approach and higher order polynomial algebras for superintegrable monopole systems Hoque, Md Fazlul; Marquette, Ian; Zhang, Yao-Zhong Article University of Queensland [UQ eSpace] 51
Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. I. Rational function potentials Marquette, Ian Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:259146 55
Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. II. Painleve transcendent potentials Marquette, Ian Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:259147 58
Supersymmetry as a method of obtaining new superintegrable systems with higher order integrals of motion Marquette, Ian Article University of Queensland [UQ eSpace] https://espace.library.uq.edu.au/view/UQ:259148 64
The general Racah algebra as the symmetry algebra of generic systems on pseudo–spheres Kuru, Sengul; Marquette, Ian; Negro, Javier Article University of Queensland [UQ eSpace] 3
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