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The Normal- and Antinormal-Ordered Decomposition Formulas of Multimode Exponential Operators
Authors:SONG Tong-Qiang  FENG Jian and GAO Yun-Feng
Institution:1. Department of Physics, Ningbo University, Ningbo 315211, Zhejiang Province, China ;2. Department of Communication Engineering, Liaocheng Teacher's College, Liaocheng 252059, Shangdong Province, China ;3. Department of Education Engineering, Liaocheng Teacher's College, Liaocheng 252059, Shangdong Province, China
Abstract:We obtain the normally ordered form of the general multimode exponential operator by means of parameter differentiation method and its antinormally ordered form by virtue of the technique of integration within an ordered product of operators. As an application, we obtain a new completeness relation in n-mode Fock space.
Keywords:multimode exponential operator  ordered product of  operators                                                                                                                                            
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