Energy-Levels Crossing and Radial Dirac Equation: Supersymmetry and Quasi-Parity Spectral Signatures
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Publisher
Springer US
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info:eu-repo/semantics/closedAccess
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.
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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
Journal or Series
International Journal of Theoretical Physics
WoS Q Value
Scopus Q Value
Volume
47
Issue
5
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.
