Journal of Mathematical Physics

Independent subsystems in the problems of few-body interaction. Two-body scattering in force field

Viatcheslav V. Komarov, Anna M. Popova, Vladimir Leonidovich Shablov

Published Apr 1, 1980• 3 citations

Abstract

A few-body quantum mechanical system is examined. It is assumed that the scattering operator of the system is a sum of two-body potential operators. Some odd ends in the sum commute. Four-dimensional perturbation potentials and second quantized formalism is used for a solution of the problem. The scattering of two distinct particles in a force field is considered as an example. For this case, the system of the integral equations for the scattering amplitudes are obtained. These amplitudes permit us to construct channel Möller operators. It has been shown that such system has unique solution equivalent to the solution of the corresponding Schrödinger equation.

DOI: 10.1063/1.524466

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