Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distributions of Transition Matrix Elements in Classically Mixed Quantum
  Systems   The quantitative contributions of a mixed phase-space to the mean
characterizing the distribution of diagonal transition matrix elements and to
the variance characterizing the distributions of non-diagonal transition matrix
elements are studied. It is shown that the mean can be expressed as the sum of
suitably weighted classical averages along an ergodic trajectory and along the
stable periodic orbits. Similarly, it is shown that the values of the variance
are well reproduced by the sum of the suitably weighted Fourier transforms of
classical autocorrelation functions along an ergodic trajectory and along the
stable periodic orbits. The illustrative numerical computations are done in the
framework of the Hydrogen atom in a strong magnetic field, for three different
values of the scaled energy.

14
The categories of this paper are: math-ph
2
The categories of this paper are: math
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th