Non-relativistic Casimir effect at finite temperature

TL;DR

This paper explores the non-relativistic Casimir effect at finite temperature using a 5-dimensional Galilean covariant framework, applying Thermo Field Dynamics to calculate temperature effects for particles with spin zero and 1/2.

Contribution

It introduces a non-relativistic approach to compute the Casimir effect and Stefan-Boltzmann law at finite temperature within a 5D Galilean covariant formalism.

Findings

Calculated the Stefan-Boltzmann law non-relativistically.

Derived the Casimir effect at finite temperature for spin-zero and spin-1/2 particles.

Applied Thermo Field Dynamics to incorporate temperature effects.

Abstract

The Galilean covariance, formulated in 5-dimensions space, describes the non-relativistic physics in a way similar to quantum field theory. Using a non-relativistic approach the Stefan-Boltzmann law and the Casimir effect at finite temperature for a particle with spin zero and $1/2$ are calculated. The Thermo Field Dynamics is used to calculate the temperature effect.