Immersing method for the multichannel scattering problem

Abstract We propose a method for solution of the multichannel scattering problem. In particular, the scattering problem is considered when a particle makes a finite motion in the transverse direction of the scattering. In this case the scattering becomes multichannel, which is connected with the pre...
Ausführliche Beschreibung

Abstract We propose a method for solution of the multichannel scattering problem. In particular, the scattering problem is considered when a particle makes a finite motion in the transverse direction of the scattering. In this case the scattering becomes multichannel, which is connected with the presence of discrete energy levels of the transverse movement of the particle. For the case of two-channel scattering, the problem is formulated up to the end. A method for determination of scattering amplitudes for the potential V=V(x,y) is proposed. Ausführliche Beschreibung