Exact solution of an N-body problem in one dimension

Khare, Avinash (1996) Exact solution of an N-body problem in one dimension Journal of Physics A: Mathematical and General, 29 (3). L45-L48. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/29/3/001

Related URL: http://dx.doi.org/10.1088/0305-4470/29/3/001

Abstract

A complete energy spectrum is obtained for the quantum mechanical problem of N one-dimensional equal mass particles interacting via potential V(x1, x2,.....,xN)=g∑Ni<j 1/(xi-xj)2-α/√∑i<j (xi-xj)2. Furthermore, it is shown that the scattering configuration, characterized by initial momenta p(i=1,2,....N) , goes over into a final configuration characterized uniquely by the final momenta P'i with P'i=PN+1-i.

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ID Code:82051
Deposited On:09 Feb 2012 05:09
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