Quadratic algebra approach to relativistic quantum Smorodinsky–Winternitz systems
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Publication:5263560
DOI10.1063/1.3579983zbMath1316.81033arXiv1012.1841OpenAlexW1986105006MaRDI QIDQ5263560
Publication date: 17 July 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.1841
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Operator algebra methods applied to problems in quantum theory (81R15) Solving polynomial systems; resultants (13P15)
Related Items (5)
Klein-Gordon equation with superintegrable systems: Kepler-Coulomb, harmonic oscillator, and hyperboloid ⋮ Relativistic solutions for the spin-1 particles in the two-dimensional Smorodinsky-Winternitz potential ⋮ Dirac equation with anisotropic oscillator, quantum E3′ and Holt superintegrable potentials and relativistic generalized Yang–Coulomb monopole system ⋮ Solution of the Dirac equation with some superintegrable potentials by the quadratic algebra approach ⋮ Generalized five-dimensional Kepler system, Yang-Coulomb monopole, and Hurwitz transformation
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