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arXiv · 1104.1353

Radial power-law position-dependent mass; Cylindrical coordinates, separability, and spectral signatures

Omar Mustafa
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Abstract

We discuss the separability of the position-dependent mass Hamiltonian in cylindrical coordinates in the framework of a radial power-law position-dependent mass. We consider two particular radial mass settings; a harmonic oscillator type, and a Coulombic type. We subject the radial harmonic oscillator type mass to a radial harmonic oscillator potential and the radial Coulombic mass to a radial Coulombic potential. Azimuthal symmetry is assumed and spectral signatures of various z-dependent interaction potentials are reported.

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Omar Mustafa. 2011-04-07. Radial power-law position-dependent mass; Cylindrical coordinates, separability, and spectral signatures. https://doi.org/10.1088/1751-8113/44/35/355303

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