Project Details
Description
Quantum chaos and scattering theory are two areas of mathematics (and physics) exhibiting classical-quantum correspondences, meaning that in the high-energy or large-distance limit, the behaviour of the quantum system (of evolving waves) is governed to some extent by the dynamics of a corresponding classical system (of evolving particles). In this project I will examine some deep connections between some specific quantum systems and the geometry, topology and dynamics of the underlying classical system.
Status | Finished |
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Effective start/end date | 1/01/07 → 31/12/10 |
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