02-534 NOURRIGAT , ROYER
THERMODYNAMIC LIMITS FOR HAMILTONIANS DEFINED AS PSEUDODIFFERENTIAL OPERATORS. (94K, tex) Dec 30, 02
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Abstract. If $P(h)$ is a $h-$pseudodifferential operator in ${\bf R} ^n$ associated to an holomorphic semi-bounded symbol in some neighborhood of the real phase space, with bounded derivatives, we describe the symbol of $e^{-tP(h)}$, by inequalities where the constants depend on the bounds for the derivatives of the symbol of $P(h)$, but not on the dimension $n$. Some applications to thermodynamic limits (free energy) are given.

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