scientific article

zbMath0595.35031MaRDI QIDQ3726583

Bernard Helffer, Johannes Sjöstrand

Publication date: 1985

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1985__42_2_127_0

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zbMATH Keywords

Dirichlet problemSchrödinger operatorspectral geometrygroup symmetrieswell

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10) Boundary value problems on manifolds (58J32)

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Cites Work

• Semiclassical analysis of low lying eigenvalues. II: Tunneling
• Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles
• Krein's formula and one-dimensional multiple-well
• Double wells
• New approach to the semiclassical limit of quantum mechanics. I: Multiple tunnelings in one dimension
• \(G\)-spaces, the asymptotic splitting of \(L2(M)\) into irreducibles
• On the rate of asymptotic eigenvalue degeneracy
• Instantons, double wells and large deviations
• Multiple wells in the semi-classical limit I
• Multiple Wells in the Semi-Classical Limit III - Interaction Through Non-Resonant Wells
• Etude du Spectre Pour un Operateur Globalement Elliptique Dont le Symbole de Weyl Presente des Symetries II. Action Des Groupes de Lie Compacts
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