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Coherent State Projection Operator Representation of Symplectic Transformations as a Loyal Representation of Symplectic Group
Authors:FAN Hong-Yi  CHEN Jun-hua
Institution:Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
Abstract:We find that the coherent state projection operator representation of symplectic transformation constitutesa loyal group representation of symplectic group. The result of successively applying squeezing operators on numberstate can be easily derived.
Keywords:coherent state projection operator  symplectic transformation  squeezing operator
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