WEYL CORRESPONDENCE AND PATH INTEGRAL FOR TWO-MODE CORRELATED SYSTEM

The Weyl correspondence and Wigner operator theory for two-mode correlated system is developed on the common eigenstate basis <η| of two particles' total momentum and relative position. The development brings much convenience for calculating the Wigner functions of some two-mode correlated states and makes some Weyl correspondence derivation possible. Correspondingly, the path integral with midpoint prescription in <η| representation is also formulated.