Darboux transformations for Schrödinger equations in two variables

DOI10.1063/1.2000727zbMath1110.81066arXivmath-ph/0202020OpenAlexW2020030820MaRDI QIDQ3438580

Mayer Humi

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0202020

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)

Related Items (3)

SEPARATION OF COUPLED SYSTEMS OF SCHRODINGER EQUATIONS BY DARBOUX TRANSFORMATIONS ⋮ Higher dimensional Darboux transformations ⋮ EFFECTIVE MASS HAMILTONIANS WITH LINEAR TERMS IN THE MOMENTUM: DARBOUX TRANSFORMATIONS AND FORM-PRESERVING TRANSFORMATIONS

Cites Work

• Differential equations in the spectral parameter, Darboux transformations and a hierarchy of master symmetries for KdV
• The multidimensional Darboux transformation
• Polynomial SUSY in quantum mechanics and second derivative Darboux transformations
• Separation of coupled systems of differential equations by Darboux transformations
• Factorization of systems of differential equations
• Novel types of factorisable systems of differential equations
• Factorisation of separable partial differential equations
• On form-preserving transformations for the time-dependent Schrödinger equation
• Factorization of Sturm–Liouville operators: solvable potentials and underlying algebraic structure
• Factorization: little or great algorithm?
• Two families of superintegrable and isospectral potentials in two dimensions
• The Factorization Method

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