The confluent supersymmetry algorithm for Dirac equations with pseudoscalar potentials

TL;DR

This paper develops a confluent supersymmetry method for Dirac equations with pseudoscalar potentials, enabling spectral analysis and potential transformation while ensuring solution regularity and normalizability.

Contribution

It introduces a novel confluent SUSY formalism for Dirac equations with pseudoscalar potentials, extending previous methods and providing new tools for spectral problems.

Findings

Formalism applied to spectral problems

Derived regularity conditions for transformed potentials

Established normalizability of solutions

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.