Skip navigation
Skip navigation

Semiclassical Lp Estimates for Quasimodes on Submanifolds

Tacy, Melissa Evelyn

Description

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)
URI: http://hdl.handle.net/1885/49323
http://digitalcollections.anu.edu.au/handle/1885/49323

Download

File Description SizeFormat Image
02whole.pdf686.05 kBAdobe PDFThumbnail
01front.pdf61.32 kBAdobe PDFThumbnail


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  23 August 2018/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator