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

B. Basu-Mallick·Anjan Kundu
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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.

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B. Basu-Mallick, Anjan Kundu. 2000-08-14. Exact solution of a many body problem with nearest and next-nearest neighbour interactions. https://doi.org/10.1016/s0375-9601(00)00816-1

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