New representation of the multimode phase shifting operator and its application |
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Authors: | Wang Shuai Jiang Ji-Jian Xu Shi-Min and Li Hong-Qi |
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Institution: | Department of Physics, Heze University, Heze 274015, China |
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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. |
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Keywords: | phase shifting operator coupled harmonic oscillators energy spectrums energy eigenstates |
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