Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A semi-classical trace formula at a non-degenerate critical level   We study the semi-classical trace formula at a critical energy level for a
$h$-pseudo-differential operator whose principal symbol has a unique
non-degenerate critical point for that energy. This leads to the study of
Hamiltonian systems near equilibrium and near the non-zero periods of the
linearized flow. The contributions of these periods to the trace formula are
expressed in terms of degenerate oscillatory integrals. The new results
obtained are formulated in terms of the geometry of the energy surface and the
classical dynamics on this surface.

37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom