scientific article

zbMath1105.81030arXivmath-ph/0511067MaRDI QIDQ3416790

George A. Hagedorn, Alain Joye

Publication date: 23 January 2007

Full work available at URL: https://arxiv.org/abs/math-ph/0511067

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum chaos (81Q50) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Perturbation theories for operators and differential equations in quantum theory (81Q15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) (2)-body potential quantum scattering theory (81U05)

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General adiabatic evolution with a gap condition ⋮ Adiabatic transitions in a two-level system coupled to a free Boson reservoir ⋮ Adiabatic theorems for generators of contracting evolutions ⋮ A nonlinear quantum adiabatic approximation ⋮ Transition probability for multiple avoided crossings with a small gap through an exact WKB method and a microlocal approach ⋮ Landau-Zener formula in a ``non-adiabatic regime for avoided crossings

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