On the Problem of Electromagnetic-Field Quantization |
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| Authors: | Christian Krattenthaler Sergey I Kryuchkov Alex Mahalov Sergei K Suslov |
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| Institution: | 1. Fakult?t für Mathematik, Universit?t Wien, Nordbergstrasze 15, 1090, Vienna, Austria
2. School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ, 85287–1804, USA
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| 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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