Some New Quantum Operator Formulas—New Applications of the Coherent State

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© 1983 Chinese Physical Society and IOP Publishing Ltd
, , Citation Fan Hong-yi and Ruan Tu-nan 1983 Commun. Theor. Phys. 2 1289 DOI 10.1088/0253-6102/2/4/1289

0253-6102/2/4/1289

Abstract

We present a novel method for deriving some new quantum operator formulas by carrying out the integrations within a normal product symbol. The idea underlying this method is combining the properties of normal product and of coherent state together. For example, we can deduce operator ordering theorems, the Fujiwara formula, and some disentangling theorems simply and directly. By means of this method we also get the explicit operator form and coherent state form for the Wigner function with these new forms, the wigner function's eigenstate is found and its zero point value property is discussed. Furthermore some famous quantum unitary transformations and the transformed matrix element for functional obtained conveniently. integral may be also

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10.1088/0253-6102/2/4/1289