Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantization and Conformal Properties of a Generalized Calogero Model   We analyze a generalization of the quantum Calogero model with the underlying
conformal symmetry, paying special attention to the two-body model deformation.
Owing to the underlying $ SU(1,1) $ symmetry, we find that the analytic
solutions of this model can be described within the scope of the Bargmann
representation analysis and we investigate its dynamical structure by
constructing the corresponding Fock space realization. The analysis from the
standpoint of supersymmetric quantum mechanics (SUSYQM), when applied to this
problem, reveals that the model is also shape invariant. For a certain range of
the system parameters, the two-body generalization of the Calogero model is
shown to admit a one-parameter family of self-adjoint extensions, leading to
inequivalent quantizations of the system.

10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex