半经典迹公式，等值线情形。应用于保守系统
Semi-classical trace formula, isochronous case. Application to conservative systems
摘要：
在清洁流的条件下，我们计算STF中的领先项时，能量表面的周期是离散的。与非退化周期轨道的情况相比，我们得到了一个补充项，它是用线性化流给出的。作为特例，我们给出了二次Hamilton算子的STF，并得到了可积系统的Berry-Tabor公式.对于保守系统（即具有多个第一积分的系统），我们给出了获得干净流的实际条件，并解释了STF的首项为紧对称。我们给出了几个例子来说明我们的计算。
英文摘要：
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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