Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Realizations of the Lie superalgebra q(2) and applications   The Lie superalgebra q(2) and its class of irreducible representations V_p of
dimension 2p (p being a positive integer) are considered. The action of the
q(2) generators on a basis of V_p is given explicitly, and from here two
realizations of q(2) are determined. The q(2) generators are realized as
differential operators in one variable x, and the basis vectors of V_p as
2-arrays of polynomials in x. Following such realizations, it is observed that
the Hamiltonian of certain physical models can be written in terms of the q(2)
generators. In particular, the models given here as an example are the
sphaleron model, the Moszkowski model and the Jaynes-Cummings model. For each
of these, it is shown how the q(2) realization of the Hamiltonian is helpful in
determining the spectrum.

10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
19
The categories of this paper are: eess