The Normal- and Antinormal-Ordered Decomposition Formulas
 of Multimode Exponential Operators

SONG Tong-Qiang; FENG Jian; GAO Yun-Feng

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Communications in Theoretical Physics ›› 2001, Vol. 35 ›› Issue (04) : 465-468.

The Normal- and Antinormal-Ordered Decomposition Formulas of Multimode Exponential Operators

SONG Tong-Qiang,
FENG Jian,
GAO Yun-Feng

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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.

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multimode exponential operator / ordered product of operators

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SONG Tong-Qiang, FENG Jian, GAO Yun-Feng. The Normal- and Antinormal-Ordered Decomposition Formulas of Multimode Exponential Operators[J]. Communications in Theoretical Physics, 2001, 35(04): 465-468