Solutions to position-dependent mass quantum mechanics for a new class of hyperbolic potentials

DOI10.1063/1.4840615zbMath1285.81017arXiv1311.3878OpenAlexW2051328877MaRDI QIDQ5412816

H. R. Christiansen, M. S. Cunha

Publication date: 28 April 2014

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

Full work available at URL: https://arxiv.org/abs/1311.3878

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Information-theoretic measures for a solitonic profile mass Schrödinger equation with a squared hyperbolic cosecant potential ⋮ Energy eigenfunctions for position-dependent mass particles in a new class of molecular Hamiltonians ⋮ Fisher information for the position-dependent mass Schrödinger system ⋮ 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 ⋮ Mathieu and Heun solutions to the Wheeler-De Witt equation for hyperbolic universes ⋮ Quantum systems with position-dependent mass and spin-orbit interaction via Rashba and Dresselhaus terms

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