Dual degeneracy in Supersymmetry

TL;DR

This paper introduces a novel form of double degeneracy in supersymmetry within one-dimensional quantum mechanics, demonstrating its properties and testing it on power law potentials.

Contribution

It constructs a new double degenerate supersymmetry framework and explores its characteristics, expanding the understanding of supersymmetric quantum systems.

Findings

Energy levels exhibit specific degeneracy conditions

The method is validated on power law potentials

Double degeneracy in SUSY Hamiltonians is established

Abstract

We construct a double degenerate supersymmetry in one dimensional quantum mechanics. Here the energy levels satisfy the conditions $E_{0,1}^{((-)}=0$ and $E_{n,n+1}^{(+)}=E_{n+2,n+3}^{(-)}$.The corresponding SUSY Hamiltonians$(H^{(\pm)}$) are double degenerate in nature. the method has been tested on power law potentials.