Higher-order Darboux transformations for the massless Dirac equation at zero energy

DOI10.1063/1.5095151zbMath1416.81060OpenAlexW2962092677MaRDI QIDQ5228082

Axel Schulze-Halberg

Publication date: 8 August 2019

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

Full work available at URL: https://doi.org/10.1063/1.5095151

zbMATH Keywords

energy-dependent potentials

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

Related Items (2)

Higher-order Darboux transformations and Wronskian representations for Schrödinger equations with quadratically energy-dependent potentials ⋮ Generalized Schrödinger equations with quadratical energy-dependence in the potential: Darboux transformations and application to the Heun class

Cites Work

• An analysis of the zero energy states in graphene
• The Darboux transformation of the Schrödinger equation with an energy-dependent potential
• Confluent chains of DBT: enlarged shape invariance and new orthogonal polynomials
• Darboux transformation, factorization, and supersymmetry in one-dimensional quantum mechanics
• A Bochner type characterization theorem for exceptional orthogonal polynomials
• Darboux transformations in integrable systems. Theory and their applications to geometry
• Exceptional orthogonal polynomials and the Darboux transformation
• Annth-order Darboux transformation for the one-dimensional time-dependent Schr dinger equation
• Construction of zero-energy states in graphene through the supersymmetry formalism
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