A semi-classical trace formula at a totally degenerate critical level

Details A semi-classical trace formula at a totally degenerate critical level A semi-classical trace formula at a totally degenerate critical level

2006-10-10

arxiv.org/abs/math/0610308v1

Communications in Mathematical Physics 247 (2004), no. 2, 513--526

Mathematics

Analysis of PDEs

15 pages

Scientific paper

10.1007/s00220-004-1068-9

We study the semi-classical trace formula at a critical energy level for an
$h$-pseudo-differential operator on $\mathbb{R}^{n}$ whose principal symbol has
a totally degenerate critical point for that energy. This problem is studied
for a large time behavior and under the hypothesis that the principal symbol of
the operator has a local extremum at the critical point.

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