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

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.

Some minor typographical errors are removed. To appear in Journal of Mathematical Physics

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