GENERALIZED BÄCKLUND–DARBOUX TRANSFORMATIONS IN ONE-DIMENSIONAL QUANTUM MECHANICS

DOI10.1142/S0219887808002989zbMath1144.81449OpenAlexW1965612714MaRDI QIDQ3519816

Arturo Ramos, José F. Cariñena

Publication date: 19 August 2008

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887808002989

zbMATH Keywords

singular transformationspartner HamiltoniansGeneralized Bäcklund-Darboux transformations transformation group of Riccati and Schrödinger equations finite and confluent difference Bäcklund algorithmgeneration of partially solvable potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (6)

ABC of ladder operators for rationally extended quantum harmonic oscillator systems ⋮ Modified Darboux transformations with foreign auxiliary equations ⋮ Higher-order Darboux transformations with foreign auxiliary equations and equivalence with generalized Darboux transformations ⋮ Recent advances on Lie systems and their applications ⋮ A short proof of the Gaillard-Matveev theorem based on shape invariance arguments ⋮ Stratified Lie systems: theory and applications

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