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Please use this identifier to cite or link to this item:
http://hdl.handle.net/11129/2782
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| Title: | Energy-Levels Crossing and Radial Dirac Equation: Supersymmetry and Quasi-Parity Spectral Signatures |
| Authors: | Mustafa, Omar
Eastern Mediterranean University, Faculty of Arts and Sciences, Department of Physics
TR217733 |
| Keywords: | Energy-levels crossing, Radial Dirac equation, Physics
Physics, general, Quasi-parity
Mathematical and Computational Physics, Supersymmetry, Position-dependent mass
Quantum Physics, Elementary Particles, Quantum Field Theory
EXACT SOLVABILITY, energy-levels crossing, position-dependent mass
quasi-parity, SCHRODINGER-EQUATION, PHYSICS, MULTIDISCIPLINARY
radial Dirac equation, EXACTLY-SOLVABLE PROBLEMS, POTENTIALS
HAMILTONIANS, SYMMETRIC QUANTUM-MECHANICS, IMAGINARY CUBIC OSCILLATOR
supersymmetry, SERIES SOLUTIONS, PSEUDO-HERMITICITY GENERATORS |
| Issue Date: | 2008 |
| Publisher: | Springer US |
| Citation: | O. Mustafa, Int. J. Theor. Phys. 47, 1300 (2008): arXiv: quant-ph/0703078
îEnergy-levels crossing and radial Dirac equation: Supersymmetry and quasi-parity
spectral signaturesî, SCI-journal. |
| Abstract: | The (3+1)-dimensional Dirac equation with position dependent mass in 4-vector electromagnetic fields is considered. Using two over-simplified examples (the Dirac-Coulomb and Dirac-oscillator fields), we report energy-levels crossing as a spectral property or as an effect of the hidden supersymmetric quantum mechanical language and/or quasi-parity signatures. Under different settings of the related interactions’ way-of-coupling into Dirac equation, it is observed that the two ultimate/effective descendents, Dirac-Coulomb and Dirac-oscillator, exhibit different conditions on the energy-levels crossings. |
| Description: | Due to copyright restrictions, the access to the publisher version (published version) of this article is only available via subscription. You may click URI and have access to the Publisher Version of this article through the publisher web site or online databases, if your Library or institution has subscription to the related journal or publication. |
| URI: | http://dx.doi.org/10.1007/s10773-007-9564-2
http://hdl.handle.net/11129/2782 |
| ISSN: | 0020-7748(print)
1572-9575(online) |
| Appears in Collections: | PHY – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Physics
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