WIGNER MEASURES AND MOLECULAR PROPAGATION THROUGH GENERIC ENERGY LEVEL CROSSINGS

DOI10.1142/S0129055X03001904zbMath1069.81548OpenAlexW4300200423MaRDI QIDQ4818931

Clotilde Fermanian-Kammerer

Publication date: 24 September 2004

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

Full work available at URL: https://doi.org/10.1142/s0129055x03001904

zbMATH Keywords

Born-Oppenheimer approximationsemi-classical measuresmulti-scale convergenceLandau-Zener transitions

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (3)

A nonlinear Landau-Zener formula ⋮ The level crossing problem in semi-classical analysis. II: The Hermitian case. ⋮ Resolvent Estimates and Matrix-Valued Schrödinger Operator with Eigenvalue Crossings; Application to Strichartz Estimates

Cites Work

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• Ergodic properties of eigenfunctions for the Dirichlet problem
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• On the boundedness of pseudo-differential operators
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• Homogenization limits and Wigner transforms
• Non-adiabatic crossing of energy levels
• Mesures semi-classiques 2 -microlocales
• Wigner measures and codimension two crossings
• MOLECULAR PROPAGATION THROUGH SMALL AVOIDED CROSSINGS OF ELECTRON ENERGY LEVELS
• Adiabatic decoupling and time-dependent Born-Oppenheimer theory

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