Higher-order Darboux transformations and Wronskian representations for Schrödinger equations with quadratically energy-dependent potentials

DOI10.1063/1.5126431zbMath1439.81042OpenAlexW3007467718MaRDI QIDQ5110753

Axel Schulze-Halberg

Publication date: 22 May 2020

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

Full work available at URL: https://doi.org/10.1063/1.5126431

zbMATH Keywords

quantum theorySchrödinger equationsDirac equationDarboux transformationintegral calculusKein-Gordon equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (3)

Dirac systems with magnetic field and position-dependent mass: Darboux transformations and equivalence with generalized Dirac oscillators ⋮ Generalized Schrödinger equations with quadratical energy-dependence in the potential: Darboux transformations and application to the Heun class ⋮ Characterization of Darboux transformations for quantum systems with quadratically energy-dependent potentials

Cites Work

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• Higher-order Darboux transformations for the massless Dirac equation at zero energy

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