New Two-Mode Coherent-Intermediate-Entangled State and Its Squeezing Operator

The coherent-intermediate-entangled state |α,x}>_λ,ν is proposed in the two-mode Fock Space, which exhibits both the properties of the coherent and entangled states. The |α,x}>_λ,ν makes up a new quantum mechanical representation, and the completeness relation of |α,x}>_λ,ν is proved by virtue of the technique of integral within an ordered product of operators. The corresponding squeezing operators are derived. Furthermore, Generalized P-representation is constructed in the coherent-intermediate-entangled state |α,x}>_λ,ν , and the Schmidt decomposition of |α,x}>_λ,ν is investigated.