Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Asymptotic Methods for Wave and Quantum Problems
 
Edited by: M. V. Karasev Moscow Institute of Electronics and Mathematics, Moscow, Russia
Asymptotic Methods for Wave and Quantum Problems
Hardcover ISBN:  978-0-8218-3336-0
Product Code:  TRANS2/208
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3419-9
Product Code:  TRANS2/208.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-3336-0
eBook: ISBN:  978-1-4704-3419-9
Product Code:  TRANS2/208.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
Asymptotic Methods for Wave and Quantum Problems
Click above image for expanded view
Asymptotic Methods for Wave and Quantum Problems
Edited by: M. V. Karasev Moscow Institute of Electronics and Mathematics, Moscow, Russia
Hardcover ISBN:  978-0-8218-3336-0
Product Code:  TRANS2/208
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3419-9
Product Code:  TRANS2/208.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-3336-0
eBook ISBN:  978-1-4704-3419-9
Product Code:  TRANS2/208.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    Volume: 2082003; 284 pp
    MSC: Primary 34; 35; 81;

    The collection consists of four papers in different areas of mathematical physics united by the intrinsic coherence of the asymptotic methods used. The papers describe both the known results and most recent achievements, as well as new concepts and ideas in mathematical analysis of quantum and wave problems.

    In the introductory paper “Quantization and Intrinsic Dynamics” a relationship between quantization of symplectic manifolds and nonlinear wave equations is described and discussed from the viewpoint of the weak asymptotics method (asymptotics in distributions) and the semiclassical approximation method. It also explains a hidden dynamic geometry that arises when using these methods.

    Three other papers discuss applications of asymptotic methods to the construction of wave-type solutions of nonlinear PDE's, to the theory of semiclassical approximation (in particular, the Whitham method) for nonlinear second-order ordinary differential equations, and to the study of the Schrödinger type equations whose potential wells are sufficiently shallow that the discrete spectrum contains precisely one point.

    All the papers contain detailed references and are oriented not only to specialists in asymptotic methods but also to a wider audience of researchers and graduate students working in partial differential equations and mathematical physics.

    Readership

    Graduate students and research mathematicians interested in asymptotic methods, partial differential equations, and mathematical physics.

  • Table of Contents
     
     
    • Chapters
    • Mikhail Karasev — Quantization and intrinsic dynamics
    • V. G. Danilov, G. A. Omel′yanov and V. M. Shelkovich — Weak asymptotics method and interaction of nonlinear waves
    • M. V. Karasev and A. V. Pereskokov — Global asymptotics and quantization rules for nonlinear differential equations
    • P. Zhevandrov and A. Merzon — Asymptotics of eigenfunctions in shallow potential wells and related problems
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Advances in the Mathematical Sciences
Volume: 2082003; 284 pp
MSC: Primary 34; 35; 81;

The collection consists of four papers in different areas of mathematical physics united by the intrinsic coherence of the asymptotic methods used. The papers describe both the known results and most recent achievements, as well as new concepts and ideas in mathematical analysis of quantum and wave problems.

In the introductory paper “Quantization and Intrinsic Dynamics” a relationship between quantization of symplectic manifolds and nonlinear wave equations is described and discussed from the viewpoint of the weak asymptotics method (asymptotics in distributions) and the semiclassical approximation method. It also explains a hidden dynamic geometry that arises when using these methods.

Three other papers discuss applications of asymptotic methods to the construction of wave-type solutions of nonlinear PDE's, to the theory of semiclassical approximation (in particular, the Whitham method) for nonlinear second-order ordinary differential equations, and to the study of the Schrödinger type equations whose potential wells are sufficiently shallow that the discrete spectrum contains precisely one point.

All the papers contain detailed references and are oriented not only to specialists in asymptotic methods but also to a wider audience of researchers and graduate students working in partial differential equations and mathematical physics.

Readership

Graduate students and research mathematicians interested in asymptotic methods, partial differential equations, and mathematical physics.

  • Chapters
  • Mikhail Karasev — Quantization and intrinsic dynamics
  • V. G. Danilov, G. A. Omel′yanov and V. M. Shelkovich — Weak asymptotics method and interaction of nonlinear waves
  • M. V. Karasev and A. V. Pereskokov — Global asymptotics and quantization rules for nonlinear differential equations
  • P. Zhevandrov and A. Merzon — Asymptotics of eigenfunctions in shallow potential wells and related problems
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.