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Communications in Theoretical Physics

New Approach to the Study of Atomic Coherent State

Fan Hong‐Yi

Published Dec 1, 1987• 2 citations
Publisher

Abstract

On the basis of the technique of performing integration within ordered product proposed in our previous paper [1] and Schwinger boson representation for angular momentum, we derive new normal product forms for coset element of group and their product as well as some new operator identities which are useful in studying atomic coherent state. This new formulation provides the possibility of making use of the Glauber coherent state to find new properties of atomic system.

DOI
10.1088/0253-6102/8/4/427

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On the basis of the technique of performing integration within ordered product proposed in our previous paper [1] and Schwinger boson representation for angular momentum, we derive new normal product forms for coset element of group and their product as well as some new operator identities which are useful in studying atomic coherent state. This new formulation provides the possibility of making use of the Glauber coherent state to find new properties of atomic system.
By the properties of the coherent state and the technique of performing integrations within ordered products as in Ref. [1], we derive some new useful operator ordering identities. Their applications, especially in studying the Boglyubov transformations both in one and two dimensional cases, are presented. The explicit non-unitary operators which turn the coordinate or momentum eigen-state to the corresponding coherent state are also given. Moreover, by using the Schwinger angular momentum theory and the technique mentioned above we find the normal product form of the rotation operator, with which the coefficient of the rotation D-matrix can be easily obtained.