Factorization method for a class of quantum nonlinear harmonic oscillators

DOI10.1007/s10773-011-0767-1zbMath1252.81057OpenAlexW2036793854MaRDI QIDQ763289

Xue-Hong Wang, Yu-Bin Liu

Publication date: 9 March 2012

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-011-0767-1

zbMATH Keywords

factorization methodquantum nonlinear harmonic oscillators

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items

Coherent states for nonlinear harmonic oscillator and some of its properties

Cites Work

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• One-dimensional model of a quantum nonlinear harmonic oscillator
• A non-linear oscillator with quasi-harmonic behaviour: two- andn-dimensional oscillators
• The Factorization Method, Hydrogen Intensities, and Related Problems
• The Factorization Method