Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Angular momentum decomposition of the three-dimensional Wigner harmonic
  oscillator   In the Wigner framework, one abandons the assumption that the usual canonical
commutation relations are necessarily valid. Instead, the compatibility of
Hamilton's equations and the Heisenberg equations are the starting point, and
no further assumptions are made about how the position and momentum operators
commute. Wigner quantization leads to new classes of solutions, and
representations of Lie superalgebras are needed to describe them. For the
n-dimensional Wigner harmonic oscillator, solutions are known in terms of the
Lie superalgebras osp(1|2n) and gl(1|n). For n=3N, the question arises as to
how the angular momentum decomposition of representations of these Lie
superalgebras is computed. We construct generating functions for the angular
momentum decomposition of specific series of representations of osp(1|6N) and
gl(1|3N), with N=1 and N=2. This problem can be completely solved for N=1.
However, for N=2 only some classes of representations allow executable
computations

26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th