A quantum quasi-harmonic nonlinear oscillator with an isotonic term

DOI10.1063/1.4892084zbMath1295.81061arXiv1407.6287OpenAlexW2045698631MaRDI QIDQ3189925

Manuel F. Rañada

Publication date: 12 September 2014

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

Full work available at URL: https://arxiv.org/abs/1407.6287

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) Exactly and quasi-solvable systems arising in quantum theory (81U15) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (13)

Algebraic derivation of the energy eigenvalues for the quantum oscillator defined on the sphere and the hyperbolic plane ⋮ Rogue quantum harmonic oscillations ⋮ Addendum to ``An update on the classical and quantum harmonic oscillators on the sphere and the hyperbolic plane in polar coordinates ⋮ An update on the classical and quantum harmonic oscillators on the sphere and the hyperbolic plane in polar coordinates ⋮ Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach ⋮ The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass ⋮ Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability ⋮ Poisson–Hopf algebra deformations of Lie–Hamilton systems ⋮ Self-localized solitons of a \(q\)-deformed quantum system ⋮ Barotropic FRW cosmologies with Chiellini damping ⋮ Generalized quantum nonlinear oscillators: Exact solutions and rational extensions ⋮ Generalized nonlinear oscillators with quasi-harmonic behaviour: Classical solutions ⋮ Two-parameter double-oscillator model of Mathews-Lakshmanan type: Series solutions and supersymmetric partners

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