CPT-conserved effective mass Hamiltonians through first and higher order charge operator C in a supersymmetric framework

TL;DR

This paper explores a generalized position-dependent mass Hamiltonian within a supersymmetric framework, emphasizing CPT symmetry, pseudo-Hermiticity, and PT-symmetry, leading to new mass-deformed superpotentials and spectral insights.

Contribution

It introduces novel mass-deformed superpotentials derived from different charge operator representations in a supersymmetric setting.

Findings

Spectral behavior of the Hamiltonian analyzed

New mass-deformed superpotentials constructed

PT-symmetry properties confirmed

Abstract

This paper examines the features of a generalized position-dependent mass Hamiltonian in a supersymmetric framework in which the constraints of pseudo-Hermiticity and CPT are naturally embedded. Different representations of the charge operator are considered that lead to new mass-deformed superpotentials which are inherently PT-symmetric. The qualitative spectral behavior of the Hamiltonian is studied and several interesting consequences are noted.