The confluent supersymmetry algorithm for Dirac equations with pseudoscalar potentials

Abstract

We introduce the confluent version of the quantum-mechanical supersymmetry (SUSY) formalism for the Dirac equation with a pseudoscalar potential. Application of the formalism to spectral problems is discussed, regularity conditions for the transformed potentials are derived, and normalizability of the transformed solutions is established. Our findings extend and complement former results.

References in corpus (4)

• Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics
• Scattering in one-dimensional heterostructures described by the Dirac equation
• Pseudo supersymmetric partners for the generalized Swanson model
• Solutions of the Dirac Equation in a Magnetic Field and Intertwining Operators

Cited by in corpus (3)

• Spectrally isomorphic Dirac systems: graphene in electromagnetic field
• On integral and differential representations of Jordan chains and the confluent supersymmetry algorithm
• The generalized zero-mode supersymmetry scheme and the confluent algorithm