Infinite systems of potential wells

DOI10.1007/BF02790227zbMath0808.35086MaRDI QIDQ1333781

Johannes Sjöstrand

Publication date: 5 March 1995

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

semiclassical study of the tunneling effect for the Schrödinger operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Cites Work

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• Semiclassical analysis of low lying eigenvalues. II: Tunneling
• Spectral stability under tunneling
• Krein's formula and one-dimensional multiple-well
• Semiclassical analysis of low lying eigenvalues. III: Width of the ground state band in strongly coupled solids
• Comportement semi-classique pour l'opérateur de Schrödinger à potentiel périodique. (Semi-classical behaviour of the Schrödinger operator with periodic potential)
• Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• A theorem of the Phragmen-Lindelöf type for second-order elliptic operators
• Multiple wells in the semi-classical limit I

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