The time-dependent Born-Oppenheimer approximation

Abstract

We explain why the conventional argument for deriving the time-dependent Born-Oppenheimer approximation is incomplete and review recent mathematical results, which clarify the situation and at the same time provide a systematic scheme for higher order corrections. We also present a new elementary derivation of the correct second-order time-dependent Born-Oppenheimer approximation and discuss as applications the dynamics near a conical intersection of potential surfaces and reactive scattering.

17 pages, no figures

References in corpus (3)

• Geometry of the transport equation in multicomponent WKB approximations
• A Time-Dependent Born-Oppenheimer Approximation with Exponentially Small Error Estimates
• Adiabatic Decoupling and Time-Dependent Born-Oppenheimer Theory

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