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

• Published in: arXiv.org
• Main Author: Omar, Mustafa
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 07.04.2011
• Subjects: Cylindrical coordinates; Harmonic oscillators; Mathematics - Mathematical Physics; Oscillators; Physics - Mathematical Physics; Physics - Quantum Physics; Power law; Spectral signatures

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 oscillat...