Deformed oscillator algebra approach of some quantum superintegrable Lissajous systems on the sphere and of their rational extensions
DOI10.1063/1.4922020zbMath1322.81054arXiv1503.03916OpenAlexW1872341593MaRDI QIDQ5264383
Ian Marquette, Christiane Quesne
Publication date: 27 July 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.03916
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Supersymmetry and quantum mechanics (81Q60) Operator algebra methods applied to problems in quantum theory (81R15) Formal methods and deformations in algebraic geometry (14D15) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Special quantum systems, such as solvable systems (81Q80)
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