Asymptotic Methods for Wave and Quantum Problems

Asymptotic Methods for Wave and Quantum Problems
Author :
Publisher : American Mathematical Soc.
Total Pages : 298
Release :
ISBN-10 : 0821833367
ISBN-13 : 9780821833360
Rating : 4/5 (360 Downloads)

Book Synopsis Asymptotic Methods for Wave and Quantum Problems by : M. V. Karasev

Download or read book Asymptotic Methods for Wave and Quantum Problems written by M. V. Karasev and published by American Mathematical Soc.. This book was released on 2003 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Schrodinger 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.


Asymptotic Methods for Wave and Quantum Problems Related Books

Asymptotic Methods for Wave and Quantum Problems
Language: en
Pages: 298
Authors: M. V. Karasev
Categories: Asymptotic symmetry (Physics)
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The collection consists of four papers in different areas of mathematical physics united by the intrinsic coherence of the asymptotic methods used. The papers d
Asymptotic Methods for Wave and Quantum Problems
Language: en
Pages: 284
Authors: Mikhail Vladimirovich Karasev
Categories: Differential equations, Nonlinear
Type: BOOK - Published: 2003 - Publisher:

DOWNLOAD EBOOK

The collection consists of four papers in different areas of mathematical physics united by the intrinsic coherence of the asymptotic methods used. The papers d
Asymptotic Methods in Quantum Mechanics
Language: en
Pages: 178
Authors: S.H. Patil
Categories: Science
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Quantum mechanics and the Schrodinger equation are the basis for the de scription of the properties of atoms, molecules, and nuclei. The development of reliable
Asymptotic Methods in Nonlinear Wave Theory
Language: en
Pages: 282
Authors: Alan Jeffrey
Categories: Science
Type: BOOK - Published: 1982 - Publisher: Pitman Advanced Publishing Program

DOWNLOAD EBOOK

Short-Wavelength Diffraction Theory
Language: en
Pages: 0
Authors: Vasili M. Babic
Categories: Science
Type: BOOK - Published: 2011-12-08 - Publisher: Springer

DOWNLOAD EBOOK

In the study of short-wave diffraction problems, asymptotic methods - the ray method, the parabolic equation method, and its further development as the "etalon"