New representation of the multimode phase shifting operator and its application  

作　　者：王帅 蒋继建 徐世民 李洪奇 

机构地区：[1]Department of Physics,Heze University

出　　处：《Chinese Physics B》2010年第1期332-336,共5页中国物理B（英文版）

基　　金：Project supported by the Natural Science Foundation of Shandong Province of China (Grant No. Y2008A16);the Natural Science Foundation of Heze University of Shandong Province, China (Grant No. XY09WL01)

摘　　要：Based on the rotation transformation in phase space and the technique of integration within an ordered product of operators, the coherent state representation of the multimode phase shifting operator and one of its new applications in quantum mechanics are given. It is proved that the coherent state is a natural language for describing the phase shifting operator or multimode phase shifting operator. The multimode phase shifting operator is also a useful tool to solve the dynamic problems of the mnltimode coordinate-momentum coupled harmonic oscillators. The exact energy spectra and eigenstates of such multimode coupled harmonic oscillators can be easily obtained by using the rnultimode phase shifting operator.Based on the rotation transformation in phase space and the technique of integration within an ordered product of operators, the coherent state representation of the multimode phase shifting operator and one of its new applications in quantum mechanics are given. It is proved that the coherent state is a natural language for describing the phase shifting operator or multimode phase shifting operator. The multimode phase shifting operator is also a useful tool to solve the dynamic problems of the mnltimode coordinate-momentum coupled harmonic oscillators. The exact energy spectra and eigenstates of such multimode coupled harmonic oscillators can be easily obtained by using the rnultimode phase shifting operator.

关 键 词：phase shifting operator coupled harmonic oscillators energy spectrums energy eigenstates 

分 类 号：O177[理学—数学]