02-534 NOURRIGAT , ROYER

THERMODYNAMIC LIMITS FOR HAMILTONIANS DEFINED AS PSEUDODIFFERENTIAL OPERATORS. (94K, tex) Dec 30, 02

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 02-534.src( 02-534.keywords , JR4.tex )