Effect of the Applied Electric Field on the Thermal Properties of the Relativistic Harmonic Oscillator in One Dimension

Abstract

We study the relativistic harmonic oscillators (Dirac and Klein–Gordon ones) in a constant external electric field. The solutions obtained are exact. These solutions allowed us to focus on the effect of the external electric field on the thermal properties of such oscillators. These properties are calculated by means of the Zeta-based method. Some figures have been built to show the mentioned effect.