Modified Darboux transformations with foreign auxiliary equations

DOI10.1016/j.physleta.2011.05.033zbMath1242.81076OpenAlexW1991597708MaRDI QIDQ434142

Axel Schulze-Halberg

Publication date: 9 July 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.05.033

zbMATH Keywords

Darboux transformationenergy-dependent potentialforeign auxiliary equation

Mathematics Subject Classification ID

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

Related Items (2)

Generalized Schrödinger equations with energy-dependent potentials: Formalism and applications ⋮ Darboux transformations for energy-dependent potentials and the Klein-Gordon equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Darboux transformation of the Schrödinger equation with an energy-dependent potential
• Exactly solvable energy-dependent potentials
• Darboux transformations in integrable systems. Theory and their applications to geometry
• Supersymmetric transformations of real potentials on the line
• GENERALIZED BÄCKLUND–DARBOUX TRANSFORMATIONS IN ONE-DIMENSIONAL QUANTUM MECHANICS
• Explicit Darboux transformations of arbitrary order for generalized time-dependent Schrödinger equations
• GENERATING ISOSPECTRAL HAMILTONIANS FROM A MODIFIED CRUM–DARBOUX TRANSFORMATION
• The two-fermion relativistic wave equations of constraint theory in the Pauli–Schrödinger form
• Some Water Wave Equations and Integrability
• Group theoretical approach to the intertwined Hamiltonians

This page was built for publication: Modified Darboux transformations with foreign auxiliary equations