Quasi-probability distributions for the simplest dynamical groups

被引：21

作者：

Klimov, AB ^{[1
]}

Chumakov, SM ^{[1
]}

机构：

[1] Univ Guadalajara, Dept Fis, Guadalajara 44420, Jalisco, Mexico

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2000年 / 17卷 / 12期

关键词：

D O I：

10.1364/JOSAA.17.002315

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We prove that the Wigner-Stratonovich-Agarwal operator that defines the quasi-probability distribution on the sphere [for the SU(2) dynamical group] can be written as an integral of the SU(2) (irreducible unitary) representation element with respect to a single variable that labels the orbits in the coadjoint representation. This allows us to consider contractions of the SU(2) quasi-probability distribution to the cases of the Heisenberg-Weyl group and the two-dimensional Euclidean group. (C) 2000 Optical Society of America [s0740-3232(00)03512-2] OCIS code: 000.1600.

引用

页码：2315 / 2318

页数：4

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