摘要By employing the technique of integration within an ordered product of operators, we derive natural representations of the rotation operator, the two-mode Fourier transform operator and the two-mode parity operator in entangled state representations. As an application, it is proved that the rotation operator constructed by the entangled state representation is a useful tool to solve the exact energy spectra of the two-mode harmonic oscillators with coordinate-momentum interaction.
Abstract：By employing the technique of integration within an ordered product of operators, we derive natural representations of the rotation operator, the two-mode Fourier transform operator and the two-mode parity operator in entangled state representations. As an application, it is proved that the rotation operator constructed by the entangled state representation is a useful tool to solve the exact energy spectra of the two-mode harmonic oscillators with coordinate-momentum interaction.
WANG Shuai;JIANG Ji-Jian;LI Hong-Qi. New Representation of Rotation Operator and Its Application[J]. 中国物理快报, 2009, 26(6): 60304-060304.
WANG Shuai, JIANG Ji-Jian, LI Hong-Qi. New Representation of Rotation Operator and Its Application. Chin. Phys. Lett., 2009, 26(6): 60304-060304.
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2009, Vol. 26 
