99-290 Jonathan D. Butler
Semi-Classical Counting Function with Application to Quantum Current (71K, AMS-TeX) Jul 30, 99
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. By adapting methods developed in a book by Yu. Safarov and D. Vassiliev to the semi-classical situation we obtain a new two-term asymptotic formula for the counting function of eigenvalues of $h$ pseudodifferential operators in the limit as $h \to 0$. Recent results on clustering of eigenvalues obtained by V. Petkov and G. Popov follow in Corollary and, as an application, we consider the semi-classical behaviour of the quantum current studied recently by S. Fournais.

Files: 99-290.src( 99-290.keywords , quancur.tex )