Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Many-body systems with SU(1,1) dynamical symmetry: from dynamics to
  thermodynamics based on the trace formula   For a quantum (many-body) system with dynamical symmetry described by a given
Lie group, we study the trace of exponential operators with complex
coefficients in one of the irreducible subspaces in terms of the boson
realization. By using this approach, for compact groups, we obtain the result
of the trace that is consistent with the well-known Weyl character formula. For
non-compact groups (with SU(1,1) as an application), convergent condition of
the trace is also obtained. This approach may be a powerful tool to study the
thermodynamics of quantum (many-body) systems in equilibrium state or
nonequilibrium processes.

15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph