New Convenient Way for Disentangling Exponential Operator Composed of Angular Momentum Operators

In the preceding paper （Commun. Theor. Phys. 51 （2009） 321） we have recommended a convenient method for disentangling exponential operators. In this work we use this method for disentangling exponential operators composed of angular momentum operators. We mainly desentangle the form of exp[2hJz ＋ g...

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Bibliographic Details
Published in:Communications in theoretical physics 2011-05, Vol.55 (5), p.787-789
Main Authors: Li, Hong-Qi (洪奇 李), Xu, Xing-Lei (兴磊 徐), Fan, Hong-Yi (洪义 范)
Format: Article
Language:English
Subjects:
Angular momentum
ATB
BTA
Decomposition
Lie groups
Lie代数方法
Operators
Order disorder
Tasks
Theoretical physics
指数运算
物理学
组成
角动量算符
运营商
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Summary:In the preceding paper （Commun. Theor. Phys. 51 （2009） 321） we have recommended a convenient method for disentangling exponential operators. In this work we use this method for disentangling exponential operators composed of angular momentum operators. We mainly desentangle the form of exp[2hJz ＋ g J＋ ＋ kJ_] as the ordering exp（... J＋）exp（... Jz）exp（... J_）, we employ the Schwinger Bose realization J_ = bta, J＋ = atb, Jz=（ata - btb）/2 to fulfil this task, without appealing to Lie algebra method. Note that this operator＇s desentanglng is different from its decomposition in normal ordering.
ISSN:0253-6102
DOI:10.1088/0253-6102/55/5/10