Exact energy spectrum of the generalized Dirac oscillator in an electric field
- 21 Downloads
We study the generalized (1 + 1) -dimensional Dirac oscillator in a nonuniform electric field. It is shown that in the case of a specially chosen electric field the eigenvalue equation can be cast in the form of supersymmetric quantum mechanics. This gives the possibility to find the exact solution of the energy spectrum of the generalized Dirac oscillator in a nonuniform electric field. Explicit examples of exact solutions are presented. We show that a sufficiently large electric field destroys the bounded eigenstates.
- 10.Georg Junker, Akira Inomata, Path Integral and Spectral Representations for Supersymmetric Dirac-Hamiltonians, arXiv:1712.08759Google Scholar
- 12.Asim Gangopadhyaya, Jeffry V. Mallow, Constantin Rasinariu, Supersymmetric Quantum Mechanics: An Introduction (World Scientific, 2011)Google Scholar