On integral and differential representations of Jordan chains and the confluent supersymmetry algorithm

Abstract

We construct a relationship between integral and differential representation of second-order Jordan chains. Conditions to obtain regular potentials through the confluent supersymmetry algorithm when working with the differential representation are obtained using this relationship. Furthermore, it is used to find normalization constants of wave functions of quantum systems that feature energy-dependent potentials. Additionally, this relationship is used to express certain integrals involving functions that are solution of Schrodinger equations through derivatives.

References in corpus (2)

• The confluent supersymmetry algorithm for Dirac equations with pseudoscalar potentials
• The generalized zero-mode supersymmetry scheme and the confluent algorithm

Cited by in corpus (6)

• Bilayer graphene in magnetic fields generated by supersymmetry
• Recursive Representation of Wronskians in Confluent Supersymmetric Quantum Mechanics
• Klein four-group and Darboux duality in conformal mechanics
• Supersymmetric Quantum Potentials Analogs of Classical Electrostatic Fields
• Hidden symmetries and nonlinear (super)algebras
• Special function models of indecomposable $sl(2)$ representations: The Laguerre Case