Abstract

We propose a new approach for constructing generalized entangled state representation of continuum variables, i.e., we introduce some normally ordered Gaussian-form operators, representing the completeness relation (integration of unity), and the resolution of unity leads to projection operator of entangled state vector whose explicit form in Fock space can be derived. The technique of integration within an ordered product (IWOP) of operators is essential in our discussions. For examples, we derive the entangled state representation for two particles with different masses and a kind of multipartite entangled state representation.

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