Exact solution of a many body problem with nearest and next-nearest neighbour interactions

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.

Latex, 6 pages, no figure

References in corpus (1)

• An exactly solvable many-body problem in one dimension

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