摘要
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.
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.
基金
supported by the National Natural Science Foundation of China (Grant Nos.10574060 and 11174114)
the Natural Science Foundation of Shandong Province, China (Grant No.ZR2010AQ027)
the Research Foundation of Changzhou Institute of Technology (Grant No.YN1007)
the Shandong Provincal Higher Educational Science and Technology Program, China (Grant Nos.J09LA07, J10LA15)
