Darboux algorithms for two-dimensional Dirac equations with upper triangular potential matrix

DOI10.1016/j.cam.2023.115143zbMath1530.81101OpenAlexW4321378824MaRDI QIDQ6099526

Axel Schulze-Halberg

Publication date: 20 June 2023

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2023.115143

zbMATH Keywords

Dirac equationDarboux transformationgeneralized Wronskianupper triangular matrix potential

Mathematics Subject Classification ID

Spinor and twistor methods applied to problems in quantum theory (81R25) Euler-Poisson-Darboux equations (35Q05) Matrix pencils (15A22)

Cites Work

• Unnamed Item
• Supersymmetry and the Dirac equation
• Intertwining technique for the one-dimensional stationary Dirac equation
• Darboux transformation for Dirac equations with \((1+1)\) potentials
• Darboux transformations in integrable systems. Theory and their applications to geometry
• Korteweg-de Vries–modified Korteweg-de Vries systems and Darboux transforms in 1+1 and 2+1 dimensions
• Characterization of Darboux transformations for quantum systems with quadratically energy-dependent potentials