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Multipartite State Representations in Multi-mode Fock Space and Their Squeezing Transformations
Authors:YUAN Hong-Chun  LI Heng-Mei  QI Kai-Guo  
Affiliation:1. Department of Physics, Huaibei Coal Industry Teachers' College,Huaibei 235000, China;2. Department of Physics, University of Science and Technology ofChina, Hefei 230026, China;3. Department of Modern Physics, University of Science and Technologyof China, Hefei 230026, China
Abstract:We present the continuous state vector of the total coordinate of multi-particle and the state vector of their total momentum, respectively, which possess completeness relation in multi-mode Fock space by virtue of the integration within an order product (IWOP) technique. We also calculate the transition from classical transformation of variables in the states to quantum unitary operator, deduce a new multi-mode squeezing operator, and discuss its squeezing effect. In progress, it indicates that the IWOP technique provides a convenient way to construct new representation in quantum mechanics.
Keywords:IWOP technique   multipartite state representations   squeezing operator
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