Instantons and splitting

DOI10.1063/1.531890zbMath0874.34074OpenAlexW1978033818MaRDI QIDQ4338347

Vania Sordoni

Publication date: 3 July 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531890

zbMATH Keywords

eigenvaluessemiclassical Schrödinger operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (1)

Riemann surfaces of complex classical trajectories and tunnelling splitting in one-dimensional systems

Cites Work

• Semiclassical analysis of low lying eigenvalues. II: Tunneling
• Eigenvalues variation. I: Neumann problem for Sturm--Liouville operators
• Convergent expansions for tunneling
• Comportement semi-classique pour l'opérateur de Schrödinger à potentiel périodique. (Semi-classical behaviour of the Schrödinger operator with periodic potential)
• Double wells
• New approach to the semiclassical limit of quantum mechanics. I: Multiple tunnelings in one dimension
• Splitting of the lowest energy levels of the Schrödinger equation and asymptotic behavior of the fundamental solution of the equation \(hu_ t=h^ 2\Delta u/2-V(x)u\)
• On the rate of asymptotic eigenvalue degeneracy
• Splitting amplitudes of the lowest energy levels of the Schrödinger operator with double-well potential
• 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

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