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Zbl 0714.34131
Helffer, B.; Sjöstrand, J.
Analyse semi-classique pour l'équation de Harper. II: Comportement semi-classique près d'un rationnel. (Semiclassical analysis for the Harper equation. II. Semiclassical behaviour near a rational number). (French)
[J] Mém. Soc. Math. Fr., Nouv. Sér. 40, 139 p. (1990). ISSN 0249-633X

[For part I see the paper reviewed in Zbl 0714.34130.] \par In this long paper the authors continue their deep study of Harper's operators in $L\sp 2({\bbfR}): \cos (hD\sb x)+\cos x$ by microlocal analysis and renormalisation.
[D.Robert]

MSC 2000:: *34L40 Particular ordinary differential operators
35P15 Estimation of eigenvalues for PD operators
34L15 Estimation of eigenvalues for OD operators
81Q20 Semi-classical techniques in quantum theory
35A27 Sheaf-theoretic methods (PDE)

Keywords: Harper's operators; microlocal analysis

Citations: Zbl 0714.34130

Cited in: Zbl 0725.34099 Zbl 0714.34130

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Zentralblatt MATH Berlin [Germany]