Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calculation of eigenvalues of a strongly chaotic system using Gaussian
  wavepacket dynamics   We apply the approximate dynamics derived from the Gaussian time-dependent
variational principle to the Hamiltonian $ \hat H= {1/2}(\hat p_x ^2+ \hat p_y
^2)+ {1/2}\hat x^2\hat y^2$, which is strongly chaotic in the classical limit.
We are able to calculate, essentially analytically, low-lying eigenvalues for
this system. These approximate eigenvalues agree within a few percent with the
numerical results. We believe that this is the first example of the use of TDVP
dynamics to compute individual eigenvalues in a non-trivial system and one of
the few such computations in a chaotic system by any method. There is a short
self-contained discussion on the validity of Gaussian approximations in the
paper.

37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga