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Semiclassical Lp Estimates for Quasimodes on Submanifolds

Tacy, Melissa Evelyn


Motivated by the desire to understand classical-quantum correspondences, we study concentration phenomena of approximate eigenfunctions of a semiclassical pseudodifferential operator $P(h)$. Such eigenfunctions appear as steady state solutions of quantum systems. Here we think of $h$ as being a small parameter such that $h^{2}$ is inversely proportional to the energy of such a system. As we understand classical mechanics to be the high energy (or small $h$) limit of quantum mechanics we expect...[Show more]

CollectionsOpen Access Theses
Date published: 2010-03
Type: Thesis (PhD)


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