On the equivalence of the Langevin and auxiliary field quantization methods for absorbing dielectrics
Quantum Physics
2009-11-06 v1
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0011012,
title = {On the equivalence of the Langevin and auxiliary field quantization methods for absorbing dielectrics},
author = {A. Tip and L. Knoll and S. Scheel and D. -G. Welsch},
journal= {arXiv preprint arXiv:quant-ph/0011012},
year = {2009}
}
Comments
7 pages, RevTeX, no figures