# Recursive Representation of Wronskians in Confluent Supersymmetric Quantum Mechanics

## TL;DR

This paper develops a recursive method to analyze Wronskians in confluent SUSY quantum mechanics, enabling better understanding of potential regularity and providing new solution representations for Schrödinger equations.

## Contribution

It introduces a recursive formulation of Wronskians in confluent SUSY, offering a novel tool for potential regularity analysis and solution construction.

## Key findings

- Recursive Wronskian form for arbitrary order
- New representations of Schrödinger solutions
- Enhanced analysis of potential regularity

## 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 Schr\"odinger equations that underwent a confluent SUSY-transformation.