Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interacting families of Calogero-type particles and SU(1,1) algebra   We study a one-dimensional model with F interacting families of Calogero-type
particles. The model includes harmonic, two-body and three-body interactions.
We emphasize the universal SU(1,1) structure of the model. We show how SU(1,1)
generators for the whole system are composed of SU(1,1) generators of arbitrary
subsystems. We find the exact eigenenergies corresponding to a class of the
exact eigenstates of the F-family model. By imposing the conditions for the
absence of the three-body interaction, we find certain relations between the
coupling constants. Finally, we establish some relations of equivalence between
two systems containing F families of Calogero-type particles.

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The categories of this paper are: cs
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ