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New Approach for Constructing the Entangled-state Representation
Gang Ren,Hongyi Fan 한국물리학회 2010 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.56 No.4
We propose a new approach for constructing the generalized entangled-state representation of continuum variables; i.e., we introduce some normally-ordered Gaussian-form operators, represent-ing the completeness relation (integration of unity), and the resolution of unity leads to a projection operator of the entangled -state vector whose explicit form in Fock space can be derived. The tech-nique 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 di®erent masses and a kind of multipartite entangled state representation.