A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour

DOI10.1016/j.aop.2006.03.005zbMath1119.81098arXivmath-ph/0604008OpenAlexW2125100322MaRDI QIDQ863949

Mariano Santander, Manuel F. Rañada, José F. Cariñena

Publication date: 12 February 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0604008

zbMATH Keywords

nonlinear oscillatorsquantizationgeneralized Hermite polynomialsx-dependent mass

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Groups and algebras in quantum theory and relations with integrable systems (81R12)

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