Spectral asymptotics in the semi-classical limit /

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Bibliographic Details
Author / Creator:Dimassi, Mouez.
Imprint:Cambridge, U.K. ; New York : Cambridge University Press, 1999.
Description:1 online resource (xi, 227 pages)
Language:English
Series:London Mathematical Society lecture note series ; 268
London Mathematical Society lecture note series ; 268.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11181236
Hidden Bibliographic Details
Other authors / contributors:Sjöstrand, J. (Johannes)
ISBN:9781107362796
1107362792
9780511662195
051166219X
0521665442
9780521665445
Notes:Includes bibliographical references (pages 209-220) and index.
Print version record.
Summary:Semiclassical approximation addresses the important relationship between quantum and classical mechanics. There has been a very strong development in the mathematical theory, mainly thanks to methods of microlocal analysis. This book develops the basic methods, including the WKB-method, stationary phase and h-pseudodifferential operators. The applications include results on the tunnel effect, the asymptotics of eigenvalues in relation to classical trajectories and normal forms, plus slow perturbations of periodic Schrödinger operators appearing in solid state physics. No previous specialized knowledge in quantum mechanics or microlocal analysis is assumed, and only general facts about spectral theory in Hilbert space, distributions, Fourier transforms and some differential geometry belong to the prerequisites. This book is addressed to researchers and graduate students in mathematical analysis, as well as physicists who are interested in rigorous results. A fairly large fraction can be (and has been) covered in a one semester course.
Other form:Print version: Dimassi, Mouez. Spectral asymptotics in the semi-classical limit. Cambridge, U.K. ; New York : Cambridge University Press, 1999 0521665442