Gap estimates for double-well Schrödinger operators and quantum stabilization of anharmonic crystals

DOI10.1007/s10884-004-2786-6zbMath1071.34090OpenAlexW1979339049MaRDI QIDQ1768356

Yuri V. Kozitskij

Publication date: 15 March 2005

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-004-2786-6

zbMATH Keywords

stabilityeigenvalueselfadjoint operatorquasi-classical limit

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (3)

Gibbs states of interacting systems of quantum anharmonic oscillators ⋮ PHASE TRANSITIONS AND QUANTUM STABILIZATION IN QUANTUM ANHARMONIC CRYSTALS ⋮ Euclidean Gibbs measures of interacting quantum anharmonic oscillators

Cites Work

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• Suppression of critical fluctuations by strong quantum effects in quantum lattice systems
• Instantons, double wells and large deviations
• EUCLIDEAN GIBBS STATES OF QUANTUM LATTICE SYSTEMS
• Semi-classical limit of wave functions

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