Generalized Schrödinger equations with energy-dependent potentials: Formalism and applications

DOI10.1063/1.5058145zbMath1404.81100OpenAlexW2900555513MaRDI QIDQ4561716

Özlem Yeşiltaş, Axel Schulze-Halberg

Publication date: 12 December 2018

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

Full work available at URL: https://doi.org/10.1063/1.5058145

zbMATH Keywords

position-dependent massMathews-Lakshmanan oscillatorgeneralized Swanson system

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (6)

The GUP for non-relativistic Feynman propagator with energy-dependent mass ⋮ The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass ⋮ Generalized Schrödinger equations with quadratical energy-dependence in the potential: Darboux transformations and application to the Heun class ⋮ Bound state solutions of the Klein–Gordon equation with energy-dependent potentials ⋮ DKP Equation with Energy Dependent Potentials ⋮ Variational Method Applied to Schrödinger-Like Equation

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