Explicit Darboux transformations of arbitrary order for generalized time-dependent Schrödinger equations

DOI10.1088/1751-8113/42/11/115211zbMath1176.81041OpenAlexW1971135854MaRDI QIDQ3648290

Alina Suzko, Axel Schulze-Halberg, E. O. Pozdeeva

Publication date: 24 November 2009

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

Full work available at URL: https://doi.org/10.1088/1751-8113/42/11/115211

Mathematics Subject Classification ID

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

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Freezable bound states in the continuum for time-dependent quantum potentials ⋮ Continuous and discrete dynamical Schrödinger systems: explicit solutions ⋮ Modified Darboux transformations with foreign auxiliary equations ⋮ Analytic solutions, Darboux transformation operators and supersymmetry for a generalized one-dimensional time-dependent Schrödinger equation ⋮ Higher-order Darboux transformations with foreign auxiliary equations and equivalence with generalized Darboux transformations ⋮ The generalized confluent supersymmetry algorithm: Representations and integral formulas ⋮ Position dependent mass Schrödinger equation and isospectral potentials: Intertwining operator approach ⋮ Intertwining relations and Darboux transformations for Schrödinger equations in (n+1) dimensions ⋮ Green’s functions and trace formulas for generalized Sturm–Liouville problems related by Darboux transformations

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