Wigner function for the generalized excited pair coherent state

This paper introduces the generalized excited pair coherent state (GEPCS). Using the entangled state |\eta\rangle representation of Wigner operator, it obtains the Wigner function for the GEPCS. In the \rho--\gamma phase space, the variations of the Wigner function distributions with the parameters q, \alpha, 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 |\eta_1, \eta_2, \tau_1, \tau_2\rangle. The entangled states |\eta\rangle and |\eta_1, \eta_2, \tau_1, \tau_2 provide two good representative space for studying the Wigner functions and tomograms of various two-mode correlated quantum states.