Energy-Levels Crossing and Radial Dirac Equation: Supersymmetry and Quasi-Parity Spectral Signatures |
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Authors: | Omar Mustafa |
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Institution: | (1) Department of Physics, Eastern Mediterranean University, G Magusa, North Cyprus, Mersin, 10, Turkey |
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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 Position-dependent mass Supersymmetry Quasi-parity |
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