Families of 2D superintegrable anisotropic Dunkl oscillators and algebraic derivation of their spectrum

DOI10.1088/1751-8113/49/11/115201zbMath1343.81091arXiv1509.01896OpenAlexW3103723824MaRDI QIDQ2994713

Ian Marquette, Phillip S. Isaac

Publication date: 3 August 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01896

zbMATH Keywords

polynomial algebrassuperintegrable systemsdeformed oscillatorDunkl oscillator

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Graded rings (13A02) Polynomials over commutative rings (13B25) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (2)

A representation of the Dunkl oscillator model on curved spaces: Factorization approach ⋮ Exact solutions of the generalized Dunkl oscillator in the Cartesian system

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