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Exact solution of an N-body problem in one dimension

Published under licence by IOP Publishing Ltd
, , Citation Avinash Khare 1996 J. Phys. A: Math. Gen. 29 L45 DOI 10.1088/0305-4470/29/3/001

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1 Institute of Physics, Sachivalaya Marg, Bhubaneswar-751 005, India

Dates

  1. Received 23 October 1995

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0305-4470/29/3/L45

Abstract

A complete energy spectrum is obtained for the quantum mechanical problem of N one-dimensional equal mass particles interacting via potential

Furthermore, it is shown that the scattering configuration, characterized by initial momenta , goes over into a final configuration characterized uniquely by the final momenta with .

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10.1088/0305-4470/29/3/001