BIRS Workshop Lecture Videos
Constraints and Dimensional Reduction in Quantum Mechanics Teufel, Stefan
We review a number of mathematical results concerning the derivation and justification of effective equations for quantum systems constrained to small neighbourhoods of submanifolds of configuration space. For example, in some chemical reactions the nuclei move along a lower dimensional reaction path in configuration space and an effective description involving only the coordinates on the path can be justified. This effective description takes into account effects from the geometry of the path resp. submanifold.
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