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

Quantum Physics 2009-10-31 v1

Abstract

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 pip'_i and the initial momenta pip_i of the three particles. We also discuss another one parameter family of potentials for all of which pi=pi (i=1,2,3)p'_i=-p_i~(i=1,2,3).

Keywords

Cite

@article{arxiv.quant-ph/9802050,
  title  = {Exact Solution of a Class of Three-Body Scattering Problems in One dimension},
  author = {Avinash Khare and Uday P. Sukhatme},
  journal= {arXiv preprint arXiv:quant-ph/9802050},
  year   = {2009}
}

Comments

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