Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlations within Eigenvectors and Transition Amplitudes in the
  Two-Body Random Interaction Model   It is shown that the two-body character of the interaction in a many-body
system gives rise to specific correlations between the components of compound
states, even if this interaction is completely random. Surprisingly, these
correlations increase with the increase of the number of active (valence)
particles. Statistical theory of transition amplitudes between compound states,
which takes into account these correlation is developed and tested within the
framework of the Two-Body Random Interaction Model. It is demonstrated that a
feature, which can be called ``correlation resonance'', appears in the
distribution of the transition matrix amplitudes, since the correlations
strongly reduce the transition amplitudes at the tails and increase them near
the maximum of the distribution.

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The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th