Energy-levels crossing and radial Dirac equation: Supersymmetry and quasi-parity spectral signatures

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.

15 pages, no figures

References in corpus (5)

• Quantum particles trapped in a position-dependent mass barrier; a d-dimensional recipe
• N-fold Supersymmetry in Quantum Systems with Position-dependent Mass
• d-Dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass
• Non-Hermitian d-dimensional Hamiltonians with position dependent mass and their $\eta$-pseudo-Hermiticity generators
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Cited by in corpus (1)

• Landau Quantization for an electric quadrupole moment of Position-Dependent Mass Quantum Particles interacting with Electromagnetic fields