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KAM Theory and Semiclassical Approximations to Eigenfunctions Book

KAM Theory and Semiclassical Approximations to Eigenfunctions
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KAM Theory and Semiclassical Approximations to Eigenfunctions, It is a surprising fact that so far almost no books have been published on KAM theory. The first part of this book seems to be the first monographic exposition of this subject, despite the fact that the discussion of KAM theory started as early as 1954 (K, KAM Theory and Semiclassical Approximations to Eigenfunctions
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  • KAM Theory and Semiclassical Approximations to Eigenfunctions
  • Written by author Vladimir F. Lazutkin
  • Published by Springer-Verlag New York, LLC, 12/14/2011
  • It is a surprising fact that so far almost no books have been published on KAM theory. The first part of this book seems to be the first monographic exposition of this subject, despite the fact that the discussion of KAM theory started as early as 1954 (K
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Book Categories

Authors

Introduction 1
List of General Mathematical Notations 8
Pt. I KAM Theory
Ch. I Symplectic Dynamical Systems 15
Ch. II KAM Theorems 121
Ch. III Beyond the Tori 160
Ch. IV Proof of the Main Theorem 188
Pt. II Eigenfunctions Asymptotics
Ch. V Laplace-Beltrami-Schrodinger Operator and Quasimodes 225
Ch. VI Maslov's Canonical Operator 242
Ch. VII Quasimodes Attached to a KAM Set 294
Appendix I. Manifolds 338
Appendix II. Derivatives of Superposition 358
Appendix III. The Stationary Phase Method 366
References 375
Subject Index 381


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KAM Theory and Semiclassical Approximations to Eigenfunctions, It is a surprising fact that so far almost no books have been published on KAM theory. The first part of this book seems to be the first monographic exposition of this subject, despite the fact that the discussion of KAM theory started as early as 1954 (K, KAM Theory and Semiclassical Approximations to Eigenfunctions

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KAM Theory and Semiclassical Approximations to Eigenfunctions, It is a surprising fact that so far almost no books have been published on KAM theory. The first part of this book seems to be the first monographic exposition of this subject, despite the fact that the discussion of KAM theory started as early as 1954 (K, KAM Theory and Semiclassical Approximations to Eigenfunctions

KAM Theory and Semiclassical Approximations to Eigenfunctions

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KAM Theory and Semiclassical Approximations to Eigenfunctions, It is a surprising fact that so far almost no books have been published on KAM theory. The first part of this book seems to be the first monographic exposition of this subject, despite the fact that the discussion of KAM theory started as early as 1954 (K, KAM Theory and Semiclassical Approximations to Eigenfunctions

KAM Theory and Semiclassical Approximations to Eigenfunctions

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