THE QUASI-CLASSICAL APPROXIMATION IN DELOS-THORSON CLOSE-COUPLED EQUATIONS FOR INELASTIC-SCATTERING

For the description of inelastic scattering a new form of the close-co upled equations of Delos and Thorson is considered. The equations prop osed involve wavefunctions of elastic scattering in the quasiclassical approximation of Wentzel, Kramers and Brillouin (WKB). Under quasicla ssical conditions the number of coupled equations for quantum amplitud es is reduced to the number of semiclassical equations. The quasiclass ical equations are tested on the two-state exponential model. High acc uracy is achieved if the wavefunctions used take into account the comp licated structure of the Stokes phenomena. The structure of the Stokes jump is obtained numerically and visualized.