Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical Dynamics Generated by Long-Range Interactions for Lattice
  Fermions and Quantum Spins   We study the macroscopic dynamical properties of fermion and quantum-spin
systems with long-range, or mean-field, interactions. The results obtained are
far beyond previous ones and require the development of a mathematical
framework to accommodate the macroscopic long-range dynamics, which corresponds
to an intricate combination of classical and short-range quantum dynamics. In
this paper we focus on the classical part of the long-range, or mean-field,
macroscopic dynamics, but we already introduce the full framework. The quantum
part of the macroscopic dynamics is studied in a subsequent paper. We show that
the classical part of the macroscopic dynamics results from self-consistency
equations within the (quantum) state space. As is usual, the classical dynamics
is driven by Liouville's equation.

30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con