Asymmetric factorization method on supersymmetry: Complex operators

TL;DR

This paper introduces an asymmetric factorization approach for supersymmetric quantum models involving complex operators, establishing specific energy relations between partner Hamiltonians.

Contribution

It presents a novel asymmetric factorization method tailored for supersymmetric systems with complex operators, expanding the mathematical framework of supersymmetry.

Findings

Model Hamiltonians satisfy supersymmetric energy conditions

Established relations between energy levels of partner Hamiltonians

Extended supersymmetry concepts to complex operator frameworks

Abstract

We propose asymmetric factorization method for supersymmetry involving complex operators. Model Hamiltonians satisfy supersymmetric energy conditions $E_{n}^{(+)}=E_{n+1}^{(-)}$; $E_{0}^{(-)}=0$.