Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Big consequences of small changes (Non-locality and non-linearity of
  Hartree-Fock equations)   It is demonstrated that non-locality and non-linearity of Hartree-Fock
equations dramatically affect the properties of their solutions that
essentially differ from solutions of Schr?dinger equation with a local
potential. Namely, it acquires extra zeroes, has different coordinate
asymptotic, violates so-called gauge-invariance, has different scattering
phases at zero energy, has in some cases several solutions with the same set of
quantum numbers, usually equivalent expressions of current and Green's
functions became non-equivalent. These features result in a number of
consequences for probabilities of some physical processes, leading e. g. to
extra width of atomic Giant resonances and enhance considerably the ionization
probability of inner atomic electrons by a strong field.

19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio