The Weyl correspondence and Wigner operator theory for two-mode correl
ated system is developed on the common eigenstate basis [eta\ of two p
articles' total momentum and relative position. The development brings
much convenience for calculating the Wigner functions of some two-mod
e correlated states and makes some Weyl correspondence derivation poss
ible. Correspondingly, the path integral with midpoint prescription in
[eta\ representation is also formulated.