Exact solution of a many body problem with nearest and next-nearest neighbour interactions
Condensed Matter
2009-10-31 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Recently a partially solvable many-body problem with nearest and next-nearest neighbour interactions is proposed [cond-mat/9904121]. We show that by adding a suitably chosen momentum dependent nearest neighbour interaction, such a model can be converted into an integrable system with Lax operator formulation and related conserved quantities. We also solve the eigenvalue problem for the model exactly and as a byproduct obtain some identities involving associated Laguerre polynomials.
Keywords
Cite
@article{arxiv.cond-mat/0008199,
title = {Exact solution of a many body problem with nearest and next-nearest neighbour interactions},
author = {B. Basu-Mallick and Anjan Kundu},
journal= {arXiv preprint arXiv:cond-mat/0008199},
year = {2009}
}
Comments
Latex, 6 pages, no figure