Exact energy spectrum of the generalized Dirac oscillator in an electric field
Department of Applied Physics and Nanomaterials Science, Lviv Polytechnic National University, 5 Ustiyanovych St., 79013, Lviv, Ukraine
2 Department for Theoretical Physics, Ivan Franko National University of Lviv, 12, Drahomanov St., 79005, Lviv, Ukraine
* e-mail: email@example.com
Accepted: 12 June 2018
Published online: 26 July 2018
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018