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Journal of Physics A Mathematical and General

New applications of the coherent state in calculating the class operator of the rotation group

Fan Hong‐Yi, Rong Yong

Published May 7, 1988• 19 citations
Publisher

Abstract

The authors show by exploiting the properties of the coherent state and the integration within the ordered product technique that it is possible to derive an explicit expression for the class operator of the SU(2) group which has not been obtained before.
DOI
10.1088/0305-4470/21/9/013

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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.
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