Quantum solvability of a general ordered position dependent mass system: Mathews-Lakshmanan oscillator

DOI10.1063/1.5008993zbMath1373.81201arXiv1709.06269OpenAlexW2755151821MaRDI QIDQ4592870

V. Chithiika Ruby, S. Karthiga, Murugaian Senthilvelan, Muthusamy Lakshmanan

Publication date: 9 November 2017

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

Full work available at URL: https://arxiv.org/abs/1709.06269

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Spherical harmonics (33C55) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Time-dependent Schrödinger equations and Dirac equations (35Q41) Special quantum systems, such as solvable systems (81Q80)

Related Items (7)

Exact solution and coherent states of an asymmetric oscillator with position-dependent mass ⋮ Generalized Schrödinger equations with energy-dependent potentials: Formalism and applications ⋮ Quantum heat engine with level degeneracy for oscillator-shaped potential well ⋮ The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass ⋮ κ-Deformed quantum and classical mechanics for a system with position-dependent effective mass ⋮ An inclusive SUSY approach to position dependent mass systems ⋮ On the classical and quantum dynamics of a class of nonpolynomial oscillators

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