Thermodynamic properties and entropy information of fermions in the Rindler spacetime

In this article, the statistical properties of fermions in Rindler spacetime are studied, using Shannon's quantum information and thermodynamic properties. For this, the wave solutions and the compact expression for the energy spectrum associated with the Dirac equation in a non-inertial frame are found. It is shown that the non-inertial effect of the accelerated frame mimics an external potential in the Dirac equation and, in addition, allows the formation of bound states. Using the wave solutions, the quantum entropy of the system is analyzed in position and momentum space. Furthermore, with the energy spectrum, the thermodynamic properties of the system are analyzed. Considering the results of these statistical properties, it is possible to understand the influence of the acceleration of the non-inertial frame on quantum information.

Automated summary

In this article, the statistical properties of fermions in Rindler spacetime are investigated using Shannon's quantum information and thermodynamic properties. The wave solutions and energy spectrum associated with the Dirac equation in a non-inertial frame are derived, revealing that the acceleration of the non-inertial frame mimics an external potential and allows bound states formation. The quantum entropy in position and momentum space is analyzed using the wave solutions, and the thermodynamic properties of the system are studied based on the energy spectrum. These statistical properties shed light on the influence of acceleration in non-inertial frames on quantum information.