Exact Solution of a Class of Three-Body Scattering Problems in One dimension

Details Exact Solution of a Class of Three-Body Scattering Problems in One dimension Exact Solution of a Class of Three-Body Scattering Problems in One dimension

1998-02-19

arxiv.org/abs/quant-ph/9802050v1

Phys.Lett. A241 (1998) 14-18

Physics

Quantum Physics

Latex file, no figures, To be Published in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(98)00090-5

We present an exact solution of the three-body scattering problem for a one parameter family of one dimensional potentials containing the Calogero and Wolfes potentials as special limiting cases. The result is an interesting nontrivial relationship between the final momenta $p'_i$ and the initial momenta $p_i$ of the three particles. We also discuss another one parameter family of potentials for all of which $p'_i=-p_i~(i=1,2,3)$.

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