Spectral asymptotics in the semiclassical limit
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The work Spectral asymptotics in the semiclassical limit represents a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Spectral asymptotics in the semiclassical limit
Resource Information
The work Spectral asymptotics in the semiclassical limit represents a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Spectral asymptotics in the semiclassical limit
 Statement of responsibility
 Mouez Dimassi, Johannes Sjöstrand
 Subject

 Approximation theory
 Approximation theory
 Approximation, Théorie de l'
 Electronic books
 Mathematical physics
 Mathematical physics
 Microlocal analysis
 Microlocal analysis
 Mécanique
 Operadores microlocais
 Physique mathématique  Théorie asymptotique
 Quantum theory
 Quantum theory
 Quasiklassische Näherung
 SCIENCE  Physics  Mathematical & Computational
 Spectral theory (Mathematics)
 Spectral theory (Mathematics)
 Théorie quantique
 Théorie spectrale (Mathématiques)
 Valeurs propres
 Analyse (wiskunde)
 Language
 eng
 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 WKBmethod, stationary phase and hpseudodifferential 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
 Cataloging source
 N$T
 Dewey number
 530.15/57222
 Index
 index present
 LC call number
 QC20.7.M53
 LC item number
 D56 1999eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 London Mathematical Society lecture note series
 Series volume
 268
Context
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