# Shape Invariant Single and Double well Potentials under Spectral Invariance

## TL;DR

This paper explores spectral invariance in shape invariant single and double well potentials by employing derivative invariance, providing insights into their structural properties.

## Contribution

It introduces a new formulation of spectral invariance based on derivative invariance for shape invariant potentials.

## Key findings

- Spectral invariance characterized in single and double well potentials.
- Derivative invariance provides a new perspective on shape invariance.
- Potential applications in quantum mechanics and spectral theory.

## Abstract

We formulate the structure of spectral invariance in shape invariance single and double well potentials using derivative invariance.