NOURRIGAT , ROYER
THERMODYNAMIC LIMITS FOR HAMILTONIANS DEFINED AS PSEUDODIFFERENTIAL OPERATORS. 
(94K, tex)

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.