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Mathematical and Numerical Methods for Complex Quantum Systems
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The Time-Dependent Born-Oppenheimer Approximation and Non-Adiabatic Transitions
George Hagedorn
Virginia Tech
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Abstract:
We describe the mathematics of the time-dependent Born-Oppenheimer approximation of molecular quantum mechanics. We then consider non-adiabatic transitions for the electrons, which are typically exponentially small effects (in terms of the Born-Oppenheimer parameter).
There are interesting, important open problems in this area, although a few results have been proved rigorously. |
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