 02534 NOURRIGAT , ROYER
 THERMODYNAMIC LIMITS FOR HAMILTONIANS DEFINED AS PSEUDODIFFERENTIAL OPERATORS.
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Dec 30, 02

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Abstract. If $P(h)$ is a $h$pseudodifferential
operator in $ {\bf R} ^n$ associated to an holomorphic
semibounded 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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