Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: "Bottom of the well" semi-classical trace invariants   Let $\hat H$ be an h-admissible pseudodifferential operator whose principal
symbol, $H$, has a unique non-degenerate global minimum. We give a simple proof
that the semi-classical asymptotics of the eigenvalues of $\hat H$
corresponding to the "bottom of the well" determine the Birkhoff normal form of
$H$ at the minimum. We treat both the resonant and the non-resonant cases.

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The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph