Abstract
For the description of inelastic scattering a new form of the close-coupled equations of Delos and Thorson is considered. The equations proposed involve wavefunctions of elastic scattering in the quasiclassical approximation of Wentzel, Kramers and Brillouin (WKB). Under quasiclassical conditions the number of coupled equations for quantum amplitudes is reduced to the number of semiclassical equations. The quasiclassical equations are tested on the two-state exponential model. High accuracy is achieved if the wavefunctions used take into account the complicated structure of the Stokes phenomena. The structure of the Stokes jump is obtained numerically and visualized.
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