Position-dependent-mass; Cylindrical coordinates, separability, exact solvability, and PT-symmetry

preprint2010arXivOpen access

Abstract

The kinetic energy operator with position-dependent-mass in cylindrical coordinates is obtained. The separability of the corresponding Schrödinger equation is discussed within radial cylindrical mass settings. Azimuthal symmetry is assumed and spectral signatures of various z-dependent interaction potentials (Hermitian and non-Hermitian PT-symmetric) are reported.

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