Multipartite State Representations in Multi-mode Fock Space and Their Squeezing Transformations

We present the continuous state vector of the total coordinate of multi-particle and the state vector of theirtotal momentum,respectively,which possess completeness relation in multi-mode Fock space by virtue of the integrationwithin an order product (IWOP) technique.We also calculate the transition from classical transformation of variables inthe 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 quantummechanics.