Equivalence of the Langevin and auxiliary-field quantization methods for absorbing dielectrics
Equivalence of the Langevin and auxiliary-field quantization methods for absorbing dielectrics
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DOI：
10.1103/physreva.63.043806
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发表时间：
2000-11
影响因子：
2.9
通讯作者：
A. Tip;L. Knoll;S. Scheel;D. Welsch
中科院分区：
文献类型：
--
作者：
A. Tip;L. Knoll;S. Scheel;D. Welsch
近年来，人们发展了两种方法来对一般的线性介质进行电磁场的量子化。第一种是基于在麦克斯韦方程组中引入量子朗之万电流[T]。格鲁纳和d - g。Welsch、phy。Rev. A 53,1818 (1996)；何忠勇，李建明，李志刚。Welsch、phy。Rev. A 57, 3931 (1998)；李建平，李建平，李建平。Welsch、phy。Rev. A 58,700(1998)]，而第二种方法利用一组辅助域，然后是规范量化过程[A。提示、phy。[j].中华医学杂志，1998,18(5)。我们证明这两种方法是等价的。
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.