Fermions in the Rindler spacetime
Quantum Physics
2019-11-04 v2 General Relativity and Quantum Cosmology
Abstract
In this paper we study the Dirac equation in the Rindler spacetime. The solution of the wave equation in an accelerated reference frame is obtained. The differential equation associated to this wave equation is mapped into a Sturm-Liouville problem of a Schr\"odinger-like equation. We derive a compact expression for the energy spectrum associated with the Dirac equation in an accelerated reference. It is shown that the noninertial effect of the accelerated reference frame mimics an external potential in the Dirac equation and, moreover, allows the formation of bound states.
Cite
@article{arxiv.1704.00408,
title = {Fermions in the Rindler spacetime},
author = {L. C. N. Santos and C. C. Barros},
journal= {arXiv preprint arXiv:1704.00408},
year = {2019}
}