On Some One-Parameter Families of Three-Body Problems in One Dimension: Exchange Operator Formalism in Polar Coordinates and Scattering Properties

Details On Some One-Parameter Families of Three-Body Problems in One Dimension: Exchange Operator Formalism in Polar Coordinates and Scattering Properties On Some One-Parameter Families of Three-Body Problems in One Dimension: Exchange Operator Formalism in Polar Coordinates and Scattering Properties

1998-08-26

arxiv.org/abs/solv-int/9808017v1

Phys. Lett. A 250 (1998) 33-38

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX, no figure

Scientific paper

10.1016/S0375-9601(98)00752-X

We apply the exchange operator formalism in polar coordinates to a
one-parameter family of three-body problems in one dimension and prove the
integrability of the model both with and without the oscillator potential. We
also present exact scattering solution of a new family of three-body problems
in one dimension.

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