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arXiv · 1007.2094

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

Omar Mustafa
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Abstract

The kinetic energy operator with position-dependent-mass in cylindrical coordinates is obtained. The separability of the corresponding Schr\"odinger 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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Omar Mustafa. 2010-07-13. Position-dependent-mass; Cylindrical coordinates, separability, exact solvability, and PT-symmetry. https://doi.org/10.1088/1751-8113/43/38/385310

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