IWASAWA DECOMPOSITION FOR SU(1,1) AND THE GUOY EFFECT FOR SQUEEZED STATES

被引：13

作者：

SIMON, R ^{[1
]}

MUKUNDA, N ^{[1
]}

机构：

[1] JAWAHARLAL NEHRU CTR ADV SCI RES,BANGALORE 560012,INDIA

来源：

OPTICS COMMUNICATIONS | 1993年 / 95卷 / 1-3期

关键词：

D O I：

10.1016/0030-4018(93)90045-7

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We introduce Iwasawa decomposition for the squeezing group SU(1, 1) and reduce the problem of q-representation of squeezed coherent states and their time evolution to a totally algebraic problem. We employ this decomposition to demonstrate a Guoy effect for squeezed states analogous to the classical Guoy phase jump in a focused light beam. The Iwasawa decomposition leads to a representation wherein the dynamics of squeezed states is governed by fractional linear transformations in the complex plane.

引用

页码：39 / 45

页数：7

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