Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semi-classical trace formula, isochronous case. Application to
  conservative systems   Under conditions of clean flow we compute the leading term in the STF when
the set of periods of the energy surface is discrete. Comparing to the case of
non-degenerate periodic orbits, we obtain a supplementary term which is given
in terms of the linearized flow. As particular cases, we give a STF for
quadratic Hamiltonians and we obtain the Berry-Tabor formula for integrable
systems. For conservative systems (i.e. systems with several first integrals),
we give practical conditions to get a clean flow and interpret the leading term
of the STF for a compact symmetry. We give several examples to illustrate our
computation.

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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
4
The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: physics