Exact energy spectrum of the generalized Dirac oscillator in an electric field

Abstract.

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.

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Correspondence to V. M. Tkachuk.

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Laba, H.P., Tkachuk, V.M. Exact energy spectrum of the generalized Dirac oscillator in an electric field. Eur. Phys. J. Plus 133, 279 (2018). https://doi.org/10.1140/epjp/i2018-12099-5

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