Recursive Representation of Wronskians in Confluent Supersymmetric Quantum Mechanics

Abstract

A recursive form of arbitrary-order Wronskian associated with transformation functions in the confluent algorithm of supersymmetric quantum mechanics (SUSY) is constructed. With this recursive form regularity conditions for the generated potentials can be analyzed. Moreover, as byproducts we obtain new representations of solutions to Schrödinger equations that underwent a confluent SUSY-transformation.

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• Supersymmetric Quantum Potentials Analogs of Classical Electrostatic Fields
• Freezable bound states in the continuum for time-dependent quantum potentials