Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Many-body scattering theory of electronic systems   This work reviews recent advances in the analytical treatment of the
continuum spectrum of correlated few-body non-relativistic Coulomb systems. The
exactly solvable two-body problem serves as an introduction to the
non-separable three-particle system. For the latter case we discuss the
existence of an approximate separability of the long and the short-range
dynamics which is exposed in an appropriately chosen curvilinear coordinates.
  The three-body wave functions of the long-ranged part of the Hamiltonian are
derived and methods are presented to account approximately for the short-ranged
dynamics. Furthermore, we present a generalization of the methods employed for
the derivation of the three-body wave functions to the scattering states of $N$
charged particles.
  To deal with thermodynamic properties of finite systems we develop and
discuss a recent Green function methodology designed for the non-perturbative
regime.
  In addition, we give a brief account on how thermodynamic properties and
critical phenomena can be exposed in finite interacting systems.

32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas