On the spectral distribution of photons between planar interfaces

TL;DR

This paper derives a general expression for the spectral distribution of photons between two planar interfaces in Casimir geometry, considering various quantum states and including the case of sliding interfaces.

Contribution

It introduces a phenomenological field quantization approach to obtain the Keldysh function for photons in planar geometries, encompassing dynamic boundary conditions.

Findings

Derived a general formula for photon spectral distribution in planar interfaces

Analyzed the case of sliding interfaces in detail

Provides a framework for studying quantum states in Casimir geometries

Abstract

Using a phenomenological approach to field quantization, an expression for the Keldysh function of photons between two planar interfaces (Casimir geometry) is found for any stationary quantum state of the two bodies. The case of one interface sliding against the other is considered in detail.