Physics – Quantum Physics
Scientific paper
2007-03-09
Int. J. Theor. Phys. 47, 1300 (2008)
Physics
Quantum Physics
15 pages, no figures
Scientific paper
10.1007/s10773-007-9564-2
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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