Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-boson realizations of the Higgs algebra and some applications   In this paper two kinds of two-boson realizations of the Higgs algebra are
obtained by generalizing the well known Jordan-Schwinger realizations of the
SU(2) and SU(1,1) algebras. In each kind, an unitary realization and two
nonunitary realizations, together with the properties of their respective
acting spaces are discussed in detail. Furthermore, similarity transformations,
which connect the nonunitary realizations with the unitary ones, are gained by
solving the corresponding unitarization equations. As applications, the
dynamical symmetry of the Kepler system in a two-dimensional curved space is
studied and the phase operators of the Higgs algebra is constructed.

29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
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The categories of this paper are: eess
11
The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn