Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pure Representability Problem and New Models of the Electronic Fock
  Space   New models of the Fock space sector corresponding to some fixed number of
electrons are introduced. These models originate from the representability
theory and their practical implementation may lead to essential reduction of
dimensions of intermediate Configuration Interaction spaces. A certain
zero-order theory that gives wave functions approximately equivalent to ones
obtained by accounting all excitations from the Hartree-Fock reference state up
to the q-th order is proposed. Simple numerical examples are given to
illustrate the approach.

33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex