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...
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07.04.2011
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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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| AbstractList | J. Phys. A: Math. Theor. 44, 355303 (2011) 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. 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. |
| Author | Omar, Mustafa |
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| BackLink | https://doi.org/10.1088/1751-8113/44/35/355303$$DView published paper (Access to full text may be restricted) https://doi.org/10.48550/arXiv.1104.1353$$DView paper in arXiv |
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| DOI | 10.48550/arxiv.1104.1353 |
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| SubjectTerms | Cylindrical coordinates Harmonic oscillators Mathematics - Mathematical Physics Oscillators Physics - Mathematical Physics Physics - Quantum Physics Power law Spectral signatures |
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| Title | Radial power-law position-dependent mass; Cylindrical coordinates, separability, and spectral signatures |
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