On some one-parameter families of three-body problems in one dimension: Exchange operator formalism in polar coordinates and scattering properties
نویسنده
چکیده
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. PACS: 03.65.-w, 03.65.Ge, 03.65.Fd
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