Christian Krattenthaler, Sergey I. Kryuchkov, Alexander Mahalov and Sergei K. Suslov

On the problem of electromagnetic-field quantization

(15 pages)

Abstract. We consider the radiation field operators in a cavity with varying dielectric medium in terms of solutions of Heisenberg's equations of motion for the most general one-dimensional quadratic Hamiltonian. Explicit solutions of these equations are obtained and applications to the radiation field quantization, including randomly varying media, are briefly discussed.


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