Generalized quantum nonlinear oscillators: Exact solutions and rational extensions
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Publication:2832713
DOI10.1063/1.4965226zbMath1349.81091OpenAlexW2535517268MaRDI QIDQ2832713
Barnana Roy, Axel Schulze-Halberg
Publication date: 14 November 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4965226
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Exactly and quasi-solvable systems arising in quantum theory (81U15) Groups and algebras in quantum theory and relations with integrable systems (81R12) Nonlinear modes (70K75) Special quantum systems, such as solvable systems (81Q80)
Related Items (6)
Exact solution and coherent states of an asymmetric oscillator with position-dependent mass ⋮ Quantum solvability of a general ordered position dependent mass system: Mathews-Lakshmanan oscillator ⋮ Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach ⋮ The extension of the massless fermion behaviour in the cosmic string spacetime ⋮ κ-Deformed quantum and classical mechanics for a system with position-dependent effective mass ⋮ Dirac equation on the torus and rationally extended trigonometric potentials within supersymmetric QM
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