Explicit higher-dimensional Darboux transformations for the time-dependent Schrödinger equation

zbMATH Open1248.81044MaRDI QIDQ2895570

Axel Schulze-Halberg

Publication date: 3 July 2012

zbMATH Keywords

Darboux transformationtime-dependent Schrödinger equationpotential difference

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Supersymmetry and quantum mechanics (81Q60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Time-dependent Schrödinger equations and Dirac equations (35Q41) Special quantum systems, such as solvable systems (81Q80)

Related Items (5)

Title not available (Why is that?) ⋮ Darboux transformations of coherent states of the time-dependent singular oscillator ⋮ Explicit Darboux transformations of arbitrary order for generalized time-dependent Schrödinger equations ⋮ The time-dependent Schrödinger equation of dimensionk+ 1: explicit and rational solutions via GBDT and multinodes ⋮ REALITY CONDITION FOR DARBOUX TRANSFORMATIONS OF TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH EFFECTIVE MASS

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