Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact solution of a many body problem with nearest and next-nearest
  neighbour interactions   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.

35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs