Exact behavior of the energy density inside a one-dimensional oscillating cavity with a thermal state

TL;DR

This paper analyzes the precise energy density behavior of a massless scalar field in a one-dimensional cavity with a resonantly oscillating mirror at finite temperature, providing exact results and comparing them to approximate methods.

Contribution

It presents the exact energy density behavior inside a resonantly oscillating cavity with a thermal state, advancing beyond approximate analytical solutions.

Findings

Exact energy density expressions derived

Comparison with approximate methods conducted

Insights into thermal effects on cavity dynamics obtained

Abstract

We investigate the exact behavior of the energy density of a real massless scalar field inside a cavity with a single moving mirror executing a resonant oscillatory law of motion, satisfying Dirichlet boundary conditions at finite temperature. Our results are compared with those found in literature through analytical approximative methods.