Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Semi Classical Maupertuis-Jacobi Correspondance for Quasi-Periodic
  Hamiltonian Flows   We extend to the semi-classical setting the Maupertuis-Jacobi correspondance
for a pair of hamiltonians $(H(x,hD_x), {\cal H}(x,hD_x)$. If ${\cal H}(p,x)$
is completely integrable, or has merely has invariant diohantine torus
$\Lambda$ in energy surface ${\cal E}$, then we can construct a family of
quasi-modes for $H(x,hD_x)$ at the corresponding energy $E$. This applies in
particular to the theory of water-waves in shallow water, and determines
trapped modes by an island, from the knowledge of Liouville metrics.

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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: chem-ph