Position-dependent-mass; Cylindrical coordinates, separability, exact solvability, and PT-symmetry
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🪐 quant-ph
math-phmath.MP
keywords
cylindricalcoordinatesposition-dependent-massseparabilityassumedazimuthalcorrespondingdiscussed
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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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