Canonical quantization of the electromagnetic field in the presence of non-dispersive bi-anisotropic inhomogeneous magnetodielectric media

TL;DR

This paper develops a canonical quantization framework for the electromagnetic field in complex bi-anisotropic media, incorporating tensor projection operators and extending to atomic systems, with applications to spontaneous emission phenomena.

Contribution

It introduces a novel quantization method for electromagnetic fields in non-dispersive bi-anisotropic media, including tensor projection operators and atomic system integration.

Findings

Quantization method successfully applied to bi-anisotropic media.

Derived commutation relations using tensor projection operators.

Analyzed spontaneous emission of a two-level atom in the medium.

Abstract

By introducing a suitable Lagrangian, a canonical quantization of the electromagnetic field in the presence of a non-dispersive bi-anisotropic inhomogeneous magnetodielectric medium is investigated. A tensor projection operator is defined and the commutation relation between the vector potential and its canonically conjugate variable is written in terms of the projection operator. The quantization method is generalized in the presence of the atomic systems. The spontaneous emission of a two-level atom located in a non-dispersive anisotropic megnetodielectric medium is studied.