Quantum theory of atom-ellipsoid scattering in two dimensions
The theory of atom-ellipsoid scattering in two dimensions is developed. The model is typical of atom-molecular rotationally inelastic collisions. It is shown that the problem is not suitable for the use of the standard techniques because of the presence of the hard core in the potential and the semiclassical character of the system. In this article several points are discussed: the choice of the proper technique for solving the problem, the convergence problem of the perturbation schemes for the coupled multichannel equations, forbidden transitions and features of the cross sections, and finally, the static limit of the equations.