Canonical quantization of the electromagnetic field in the presence of non-dispersive bi-anisotropic inhomogeneous magnetodielectric media. (English) Zbl 1198.81191
Summary: 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.
MSC:
| 81V10 | Electromagnetic interaction; quantum electrodynamics |
| 81T70 | Quantization in field theory; cohomological methods |
| 81S05 | Commutation relations and statistics as related to quantum mechanics (general) |
| 81V80 | Quantum optics |
Keywords:
bi-anisotropic non-dispersive magnetodielectric media; constitutive relation; Onsager’s relation; canonical quantization; spontaneous emissionReferences:
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