Abstract
The new generalized coherent-entangled state representation |α, p� μ,ν is successfully derived via constructing the integration of unity in normally ordered Gaussian operator forms and then decomposing it as projection operators. This is a convenient approach for obtaining new representations. We then prove that |α, p� μ,ν has the completeness relation and only partly orthogonal, then discuss how to use a beamsplitter to produce such a state. As its potential application, formulas can be obtained by using the completeness of |α, p� μ,ν, which is very important in mathematical physics, especially in quantum optics. bipartite coherent-entangled state representation, Gaussian operator, the IWOP technique, normally ordered form
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