an:04200775
Zbl 0727.35094
Carlsson, Ulf
An infinite number of wells in the semi-classical limit
EN
Asymptotic Anal. 3, No. 3, 189-214 (1990).
00156196
1990
j
35P05 81Q20 35J10
infinite number of wells
This paper analyzes the spectrum of the Schr??dinger operator \(-h^ 2\Delta +V\) on \({\mathbb{R}}^ n\). The author extends previous results (finite number of wells) by \textit{B. Helffer} and \textit{J. Sj??strand} [Commun. Partial Differ. Equations 9, 337-408 (1984; Zbl 0546.35053)] to the case of a potential V with an infinite number of well separated wells. This contains in particular a result obtained by \textit{A. Outassourt} [J. Funct. Anal. 72, 65-93 (1987; Zbl 0662.35023)] corresponding to a compact perturbation of a periodic potential.
B.Helffer (Paris)
Zbl 0546.35053; Zbl 0662.35023