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Kam Theory and Semiclassical Approximations to Eigenfunctions by Vladimir F. Lazutkin, A. I. Shnirelman - Paperback
532.35 AED

Kam Theory and Semiclassical Approximations to Eigenfunctions by Vladimir F. Lazutkin, A. I. Shnirelman - Paperback

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Category Type
Mathematics
ISBN
9783642762499
Author
Vladimir F. Lazutkin, A. I. Shnirelman
Publisher
Springer
Description:

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 (Kolmogorov) and was developed later in 1962 by Arnold and Moser. Today, this mathematical field is very popular and well known among ...

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PRODUCT INFORMATION

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    Specifications

    Category Type
    Mathematics
    ISBN
    9783642762499
    Languages
    English
    Item EAN
    2724437273438
    People
    Author
    Vladimir F. Lazutkin, A. I. Shnirelman
    Category Type
    Mathematics
    ISBN
    9783642762499
    Languages
    English
    Item EAN
    2724437273438
    People
    Author
    Vladimir F. Lazutkin, A. I. Shnirelman
    People
    Publisher
    Springer
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    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 (Kolmogorov) and was developed later in 1962

    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 (Kolmogorov) and was developed later in 1962 by Arnold and Moser. Today, this mathematical field is very popular and well known among physicists and mathematicians. In the first part of this Ergebnisse-Bericht, Lazutkin succeeds in giving a complete and self-contained exposition of the subject, including a part on Hamiltonian dynamics. The main results concern the existence and persistence of KAM theory, their smooth dependence on the frequency, and the estimate of the measure of the set filled by KAM theory. The second part is devoted to the construction of the semiclassical asymptotics to the eigenfunctions of the generalized Schrodinger operator. The main result is the asymptotic formulae for eigenfunctions and eigenvalues, using Maslovs operator, for the set of eigenvalues of positive density in the set of all eigenvalues. An addendum by Prof. A.I. Shnirelman treats eigenfunctions corresponding to the "chaotic component" of the phase space.

    Product Features:
    • Category: Mathematics
    • Binding: Paperback
    • Language of Text: English
    • Author(s): Vladimir F. Lazutkin, A. I. Shnirelman
    • Publisher: Springer
    • ISBN: 9783642762499
    • Number of Pages: 387
    • Dimensions: 9.61 x 6.69 x 0.82 inches
 

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