On the equivalence of the Langevin and auxiliary field quantization methods for absorbing dielectrics

Details On the equivalence of the Langevin and auxiliary field quantization methods for absorbing dielectrics On the equivalence of the Langevin and auxiliary field quantization methods for absorbing dielectrics

2000-11-02

arxiv.org/abs/quant-ph/0011012v1

Physics

Quantum Physics

7 pages, RevTeX, no figures

Scientific paper

10.1103/PhysRevA.63.043806

Recently two methods have been developed for the quantization of the electromagnetic field in general dispersing and absorbing linear dielectrics. The first is based upon the introduction of a quantum Langevin current in Maxwell's equations [T. Gruner and D.-G. Welsch, Phys. Rev. A 53, 1818 (1996); Ho Trung Dung, L. Kn\"{o}ll, and D.-G. Welsch, Phys. Rev. A 57, 3931 (1998); S. Scheel, L. Kn\"{o}ll, and D.-G. Welsch, Phys. Rev. A 58, 700 (1998)], whereas the second makes use of a set of auxiliary fields, followed by a canonical quantization procedure [A. Tip, Phys. Rev. A 57, 4818 (1998)]. We show that both approaches are equivalent.

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