范洪义, 阮图南
理论物理通讯. 1985, 4(2): 181-194.
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 eigenstate to the corresponding coherent state are also given. Moreover,by using t h e Schwinger angular momentum theory and the technique mentioned above we f!nd the normal product form of the rotation operator, with which the coefficient of the rotation D-matrix can be easily obtained.