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

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

2010-07-13

arxiv.org/abs/1007.2094v3

J. Phys. A: Math. Theor. 43 (2010) 385310 (9pp)

Physics

Quantum Physics

16 pages

Scientific paper

10.1088/1751-8113/43/38/385310

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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