Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques
Annales de l'Institut Fourier, Volume 31 (1981) no. 3, pp. 169-223.

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

Dans cet article nous généralisons les résultats obtenus par J. Chazarain sur le spectre d’opérateurs de Schrödinger P(h)=h 2 2Δ+V lorsque h0. Nous étendons ses résultats aux opérateurs pseudo-différentiels globalement elliptiques d’ordre m>0.

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     title = {Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques},
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Robert, Didier; Helffer, Bernard. Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques. Annales de l'Institut Fourier, Volume 31 (1981) no. 3, pp. 169-223. doi : 10.5802/aif.844. http://www.numdam.org/articles/10.5802/aif.844/

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