Nonrelativistic and Nonstationary Effective Mass Bound-Spectra Analysis of Squared Class Trigonometric Potentials Through the Point Canonical Formalism

Abstract

The present paper engages in a particular attempt to acquire exact analytical eigensolutions of the position-dependent effective mass (PDEM) Schr\"odinger equation for a variety of squared style trigonometric potentials. The algebraic process entitled as the point canonical transformation (PCT) approach is implemented in the course of study. Certain spatially varying effective mass configurations have been utilized in establishing of the target system. Then, performing the systematic computational procedures enables us to determine not only the possible explicit forms of both discrete energy spectra and their corresponding wavefunctions but also canonical counterparts of original potentials, involved in the framework of PDEM based quantum systems.