Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques

Robert, Didier ; Helffer, Bernard

Annales de l'Institut Fourier, Tome 31 (1981), p. 169-223 / Harvested from Numdam

Résumé

Dans cet article nous généralisons les résultats obtenus par J. Chazarain sur le spectre d’opérateurs de Schrödinger $P(h) = {h^2\over 2} \Delta +V$ lorsque $h\rightarrow 0$. Nous étendons ses résultats aux opérateurs pseudo-différentiels globalement elliptiques d’ordre $m>0$.

Abstract

In this article we extend results obtained by J. Chazarain about the spectrum of Schrödinger operators: $P(h) = {h^2\over 2} \Delta +V$ when $h>0$ approach 0. We obtain the same results for globally elliptic pseudodifferential operators of order $m>0$.

Détail

Publié le : 1981-01-01

MR 83b:58072 | Zbl 0451.35022 | 6 citations dans Numdam

DOI : https://doi.org/10.5802/aif.844

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