Exact solution of generalized Dirac oscillator in electric field

TL;DR

This paper derives exact solutions for the energy spectrum of a generalized (1+1)-dimensional Dirac oscillator in a nonuniform electric field, revealing how strong fields can eliminate bound states.

Contribution

It provides a novel exact solution approach for the Dirac oscillator in electric fields using supersymmetric quantum mechanics techniques.

Findings

Exact energy spectrum solutions are obtained.

Large electric fields destroy bounded eigenstates.

Supersymmetric quantum mechanics facilitates solving the eigenvalue problem.

Abstract

We study generalized (1+1)-dimensional Dirac oscillator in nonuniform electric field. It is shown that in the case of specially chosen electric field the eigenvalue equation can be casted in the form of supersymmetric quantum mechanics. It gives a possibility to find exact solution for the energy spectrum of the generalized Dirac oscillator in nonuniform electric field. Explicit examples of exact solutions are presented. We show that sufficiently large electric field destroys the bounded eigenstates.