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.

References in corpus (1)

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

Cited by in corpus (2)

• Perfectly invisible $\mathcal{P}\mathcal{T}$-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry
• Freezable bound states in the continuum for time-dependent quantum potentials