Generalization of the Darboux transformation and generalized harmonic oscillators
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Publication:4468606
DOI10.1088/0305-4470/36/32/308zbMath1047.81040arXivquant-ph/0305174OpenAlexW3100768445MaRDI QIDQ4468606
Publication date: 10 June 2004
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0305174
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Coherent states (81R30)
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Time-dependent Darboux (supersymmetric) transformations for non-Hermitian quantum systems ⋮ Analytic solutions, Darboux transformation operators and supersymmetry for a generalized one-dimensional time-dependent Schrödinger equation ⋮ EFFECTIVE MASS HAMILTONIANS WITH LINEAR TERMS IN THE MOMENTUM: DARBOUX TRANSFORMATIONS AND FORM-PRESERVING TRANSFORMATIONS ⋮ DARBOUX TRANSFORMATIONS FOR TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH EFFECTIVE MASS ⋮ REALITY CONDITION FOR DARBOUX TRANSFORMATIONS OF TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH EFFECTIVE MASS ⋮ Form-preserving transformations for Hamiltonians with linear terms in the momentum
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