Two-dimensional magnetic Schrödinger equations, Darboux transformations and solutions of associated auxiliary equations

DOI10.1063/1.4746813zbMath1278.81072OpenAlexW1983475520MaRDI QIDQ2872250

Axel Schulze-Halberg

Publication date: 14 January 2014

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

Full work available at URL: https://doi.org/10.1063/1.4746813

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

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• On the Moutard transformation and its applications to spectral theory and soliton equations
• The multidimensional Darboux transformation
• Intertwined isospectral potentials in an arbitrary dimension
• A new exactly solvable two-dimensional quantum model not amenable to separation of variables
• Pauli equation and the method of supersymmetric factorization
• Two families of superintegrable and isospectral potentials in two dimensions
• Intertwining relations and Darboux transformations for Schrödinger equations in (n+1) dimensions

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