Spectral Asymptotics in the Semi-Classical Limit |
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Author:
| Dimassi, M. Sjostrand, J. |
Contribution by:
| Cassels, J. W. S. Hitchin, N. J. |
Series title: | London Mathematical Society Lecture Note Ser. |
ISBN: | 978-0-521-66544-5 |
Publication Date: | Sep 1999 |
Publisher: | Cambridge University Press
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Book Format: | Paperback |
List Price: | USD $79.99 |
Book Description:
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Semiclassical approximation addresses the important relationship between quantum and classical mechanics. This book presents the basic methods in the light of recent developments, including the WKB-method, stationary phase and h-pseudodifferential operators. Applications include the tunnel effect, asymptotics of eigenvalues, plus slow perturbations of periodic Schrödinger operators in solid state physics. This book is addressed to researchers and graduate students in mathematical...
More DescriptionSemiclassical approximation addresses the important relationship between quantum and classical mechanics. This book presents the basic methods in the light of recent developments, including the WKB-method, stationary phase and h-pseudodifferential operators. Applications include the tunnel effect, asymptotics of eigenvalues, plus slow perturbations of periodic Schrödinger operators in solid state physics. 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.