Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The resolvent algebra for oscillating lattice systems: Dynamics, ground
  and equilibrium states   Within the C*-algebraic framework of the resolvent algebra for canonical
quantum systems, the structure of oscillating lattice systems with bounded
nearest neighbor interactions is studied in any number of dimensions. The
global dynamics of such systems acts on the resolvent algebra by automorphisms
and there exists a (in any regular representation) weakly dense subalgebra on
which this action is pointwise norm continuous. Based on this observation,
equilibrium (KMS) states as well as ground states are constructed which are
shown to be regular. It is also indicated how to deal with singular
interactions and non-harmonic oscillations.

8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn