QUANTUM PHASE ANGLES AND SU(INFINITY)

被引：14

作者：

ELLINAS, D

机构：

[1] Department of Theoretical Physics, University of Helsinki, Helsinki, SF-00170

来源：

JOURNAL OF MODERN OPTICS | 1991年 / 38卷 / 12期

关键词：

D O I：

10.1080/09500349114552541

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The polar decomposition of the su(2) algebra leads to unitary phase operators which do not close to an algebra with the number operator. It is shown that phase and number operators can be embedded into a larger su(2j + 1) algebra with trigonometric structure constants. In the contraction limit where we pass from the su(2) to the oscillator algebra, the embedding algebra for the phase operators becomes su(infinity). The coherent states realization of the su(infinity) algebra and its relation to the q-deformed oscillator algebra is briefly discussed.

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页码：2393 / 2399

页数：7

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