On quantized Liénard oscillator and momentum dependent mass

DOI10.1063/1.4906134zbMath1305.81075arXiv1305.4566OpenAlexW2964000628MaRDI QIDQ5499047

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Publication date: 11 February 2015

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

Full work available at URL: https://arxiv.org/abs/1305.4566

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) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (7)

Exact solution and coherent states of an asymmetric oscillator with position-dependent mass ⋮ Nonstandard Lagrangians and branching: The case of some nonlinear Liénard systems ⋮ κ-Deformed quantum and classical mechanics for a system with position-dependent effective mass ⋮ Position-Dependent Mass Systems: Classical and Quantum Pictures ⋮ Coherent and Squeezed States: Introductory Review of Basic Notions, Properties, and Generalizations ⋮ Nonstandard Hamiltonian structures of the Liénard equation and contact geometry ⋮ Removal of ordering ambiguity for a class of position dependent mass quantum systems with an application to the quadratic Liénard type nonlinear oscillators

Cites Work

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• A generalized quantum nonlinear oscillator

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