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Description - Spectral Asymptotics in the Semi-Classical Limit by M. Dimassi

Semiclassical approximation addresses the important relationship between quantum and classical mechanics. In recent years 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 recent results on the tunnel effect, the asymptotics of eigenvalues in relation to classical trajectories and normal forms, plus slow perturbations of periodic Schrodinger 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.

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Book Details

ISBN: 9780521665445
ISBN-10: 0521665442
Format: Paperback
(228mm x 152mm x 13mm)
Pages: 240
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 16-Sep-1999
Country of Publication: United Kingdom

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