Normal ordering and antinormal ordering of the operator (fQ+gP)n and some of their applications

(整期优先)网络出版时间:2009-04-14
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Inthispaperbyvirtueofthetechniqueofintegrationwithinanorderedproduct(IWOP)ofoperatorsandtheintermediatecoordinate-momentumrepresentationinquantumoptics,wederivethenormalorderingandantinormalorderingproductsoftheoperator(fQ+gP)nwhennisanarbitraryinteger.Theseproductsareveryusefulincalculatingtheirmatrixelementsandexpectationvaluesandobtainingsomeusefulmathematicalformulae.Finally,theapplicationsofsomenewidentitiesaregiven.