Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact results for the Spectra of Bosons and Fermions with Contact
  Interaction   An N-body bosonic model with delta-contact interactions projected on the
lowest Landau level is considered. For a given number of particles in a given
angular momentum sector, any energy level can be obtained exactly by means of
diagonalizing a finite matrix: they are roots of algebraic equations. A
complete solution of the three-body problem is presented, some general
properties of the N-body spectrum are pointed out, and a number of novel exact
analytic eigenstates are obtained. The FQHE N-fermion model with
Laplacian-delta interactions is also considered along the same lines of
analysis. New exact eigenstates are proposed, along with the Slater
determinant, whose eigenvalues are shown to be related to Catalan numbers.

10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs