\(\text{su}_q(2)\)-invariant harmonic oscillator

DOI10.1023/A:1022829132541zbMath0981.81037arXivmath/9907123OpenAlexW2086272159MaRDI QIDQ5950803

Christiane Quesne, Michèle Irac-Astaud

Publication date: 17 December 2001

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9907123

zbMATH Keywords

Schrödinger equation\(q\)-deformationexternal fieldCasimir operator\(q\)-value range\(q\in S^1\)central potentialdeformed spectrumeigenstateisotropic harmonic oscillatorquadrupole operatorspinless particle

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) NLS equations (nonlinear Schrödinger equations) (35Q55) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

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