Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit Solution to the N-Body Calogero Problem   We solve the N-body Calogero problem, \ie N particles in 1 dimension subject
to a two-body interaction of the form $\half \sum_{i,j}[ (x_i - x_j)^2 + g/
{(x_i - x_j)^2}]$, by constructing annihilation and creation operators of the
form $ a_i^\mp =\frac 1 {\sqrt 2} (x _i \pm i\hat{p}_i )$, where $\hat{p}_i$ is
a modified momentum operator obeying %!!!!!!! Heisenberg-type commutation
relations with $x_i$, involving explicitly permutation operators. On the other
hand, $ D_j =i\,\hat{p}_j$ can be interpreted as a covariant derivative
corresponding to a flat connection. The relation to fractional statistics in
1+1 dimensions and anyons in a strong magnetic field is briefly discussed.

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The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph