Wigner function for the generalized excited pair coherent state

This paper introduces the generalized excited pair coherent state (GEPCS). Using the entangled state | η> representation of Wigner operator, it obtains the Wigner function for the GEPCS. In the ρ--γ phase space, the variations of the Wigner function distributions with the parameters q, α, k and l are discussed. The tomogram of the GEPCS is calculated with the help of the Radon transform between the Wigner operator and the projection operator of the entangled state | η₁,η₂,t₁,t₂>. The entangled states | η> and |η₁, η₂, t₁, t₂}\right\rangle provide two good representative space for studying the Wigner functions and tomograms of various two-mode correlated quantum states.