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

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Author Omar, Mustafa
Format Paper Journal Article
LanguageEnglish
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
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
ISSN:2331-8422
DOI:10.48550/arxiv.1104.1353