Exact Results for the Three-Body Problem

Emil Coffou

H. Pierre Noyes, Edwin D. Jones

Francesco Calogero, Carlo Marchioro

The exact solution is presented of the scattering problem of three equal particles interacting in one-dimension via two- and/or three-body inverse-square potentials. Both the classical and the quantal problems are treated. It is shown that the outcome of this scattering problem is an extremely simple relation between initial and final momenta, the latter being univocally determined by the former even in the quantal case. The solvability of the problem, and the simple results just mentioned, are peculiar to the equal particle case.

Jean-Louis Basdevant, André Martin, J. M. Richard +1 more

Daiichiro Sugimoto

Physics is full of many-body problems. But many-problems cannot be solved exactly in terms of known mathematical functions. Even the three-body problem can only be solved exactly in a few special cases, and most many-body systems consist of many more than three bodies. Enter supercomputers.

E. G. Goryachev