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1. 3. 1979.
Semiclassical perturbation expansion of the multichannel scattering matrix
A semiclassical perturbation method for the inelastic S matrix is described. The channels are transformed into a set of the eigenstates and it is assumed that the transition between them is small. The perturbation is the matrix which diagonalizes the coupling matrix. It is shown that such a series is independent of h/; hence the limit h/ →0 of the S matrix can be calculated. A special case of the weak coupling is also discussed.