Position-dependent-mass; Cylindrical coordinates, separability, exact solvability, and PT-symmetry
Quantum Physics
2010-08-31 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1007.2094,
title = {Position-dependent-mass; Cylindrical coordinates, separability, exact solvability, and PT-symmetry},
author = {Omar Mustafa},
journal= {arXiv preprint arXiv:1007.2094},
year = {2010}
}
Comments
16 pages