Energy eigenfunctions for position-dependent mass particles in a new class of molecular Hamiltonians
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Publication:2924880
DOI10.1063/1.4894056zbMath1320.81107arXiv1403.0302OpenAlexW1965940907WikidataQ114104123 ScholiaQ114104123MaRDI QIDQ2924880
H. R. Christiansen, M. S. Cunha
Publication date: 20 October 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.0302
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) Molecular physics (81V55)
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Exact solution and coherent states of an asymmetric oscillator with position-dependent mass ⋮ The exact solution of the Schrödinger equation with a polynomially spatially varying mass ⋮ 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 ⋮ Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass ⋮ Mathieu and Heun solutions to the Wheeler-De Witt equation for hyperbolic universes
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