On some one-parameter families of three-body problems in one dimension: exchange operator formalism in polar coordinates and scattering properties

Khare, Avinash ; Quesne, C. (1998) On some one-parameter families of three-body problems in one dimension: exchange operator formalism in polar coordinates and scattering properties Physics Letters A, 250 (1-3). pp. 33-38. ISSN 0375-9601

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03759...

Related URL: http://dx.doi.org/10.1016/S0375-9601(98)00752-X

Abstract

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 an exact scattering solution of a new family of three-body problems in one dimension.

Item Type:	Article
Source:	Copyright of this article belongs to Elsevier Science.
Keywords:	Three-body Problems; Exchange Operators; Scattering
ID Code:	17710
Deposited On:	16 Nov 2010 12:49
Last Modified:	17 May 2016 02:19

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