New representation of the multimode phase shifting operator and its application

doi:10.1088/1674-1056/19/1/014208

中国物理B ›› 2010, Vol. 19 ›› Issue (1): 14208-014208.doi: 10.1088/1674-1056/19/1/014208

New representation of the multimode phase shifting operator and its application

王帅, 蒋继建, 徐世民, 李洪奇

Department of Physics, Heze University, Heze 274015, China

收稿日期:2009-07-15 修回日期:2009-08-04 出版日期:2010-01-15 发布日期:2010-01-15
基金资助:
Project supported by the Natural Science Foundation of Shandong Province of China (Grant No. Y2008A16) and the Natural Science Foundation of Heze University of Shandong Province, China (Grant No. XY09WL01).

New representation of the multimode phase shifting operator and its application

Wang Shuai(王帅)^†, Jiang Ji-Jian(蒋继建), Xu Shi-Min(徐世民), and Li Hong-Qi(李洪奇)

Department of Physics, Heze University, Heze 274015, China

Received:2009-07-15 Revised:2009-08-04 Online:2010-01-15 Published:2010-01-15
Supported by:
Project supported by the Natural Science Foundation of Shandong Province of China (Grant No. Y2008A16) and the Natural Science Foundation of Heze University of Shandong Province, China (Grant No. XY09WL01).

摘要/Abstract

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 multimode coordinate--momentum coupled harmonic oscillators. The exact energy spectra and eigenstates of such multimode coupled harmonic oscillators can be easily obtained by using the multimode phase shifting operator.

Abstract: 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 multimode coordinate--momentum coupled harmonic oscillators. The exact energy spectra and eigenstates of such multimode coupled harmonic oscillators can be easily obtained by using the multimode phase shifting operator.

Key words: phase shifting operator, coupled harmonic oscillators, energy spectrums, energy eigenstates

中图分类号: (Solutions of wave equations: bound states)

03.65.Ge

42.50.-p (Quantum optics)

王帅, 蒋继建, 徐世民, 李洪奇. New representation of the multimode phase shifting operator and its application[J]. 中国物理B, 2010, 19(1): 14208-014208.

Wang Shuai(王帅), Jiang Ji-Jian(蒋继建), Xu Shi-Min(徐世民), and Li Hong-Qi(李洪奇) . New representation of the multimode phase shifting operator and its application[J]. Chin. Phys. B, 2010, 19(1): 14208-014208.

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New representation of the multimode phase shifting operator and its application

New representation of the multimode phase shifting operator and its application

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