The thermal properties of the one-dimensional boson particles in Rindler spacetime

Abstract

In this paper we study the one-dimension Klein-Gordon (KG) equation in the Rindler spacetime. The solutions of the wave equation in an accelerated reference frame are obtained. As a result, (i) we derive a compact expression for the energy spectrum associated in an accelerated reference, and (ii) we show that the non-inertial effect of the accelerated reference frame mimics an external potential in the Klein-Gordon equation and, moreover, allows the formation of bound states. In addition, the thermal properties of the Klein-Gordon from the partition function, have been investigated, and the effect of the accelerated reference frame parameter a on these properties has been tested. This study is extended to the case of the one-dimensional Dirac equation where the spectrum of energy is well determined and has an exact form. As a result, we will see that the behavior of the thermal quantities of the fermion particles is similar to the case of boson particles.