Fermions in the Rindler spacetime

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 Schrödinger-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.

References in corpus (7)

• Linear Confinement and AdS/QCD
• Spin dynamics in gravitational fields of rotating bodies and the equivalence principle
• The Dirac oscillator in a spinning cosmic string spacetime
• Noninertial effects on the quantum dynamics of scalar bosons
• Quantum dynamics of scalar bosons in a cosmic string background
• Scalar bosons under the influence of noninertial effects in the cosmic string spacetime
• Dirac equation and the Melvin Metric

Cited by in corpus (4)

• Quantum dynamics of scalar particles in the space-time of a cosmic string in the context of gravity's rainbow
• Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time
• Schwinger effect and a uniformly accelerated observer
• Non-Gaussian Saha's ionization in Rindler spacetime and the equivalence principle