Uniform title 
Kompleksny橠metod VKB v neline橮ykh uravneni멬akh. English

Physical description 
vii, 300 p. : ill. ; 24 cm. 
Series 
Progress in physics ; v. 16 

Progress in physics (Boston, Mass.) ; v. 16.

Bibliography 
Includes bibliographical references and index. 
Restrictions 
Use copy Restrictions unspecified star MiAaHDL 
Reproduction 
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011. MiAaHDL 
Summary 
When this book was first published (in Russian), it proved to become the fountainhead of a major stream of important papers in mathematics, physics and even chemistry; indeed, it formed the basis of new methodology and opened new directions for research. The present English edition includes new examples of applications to physics, hitherto unpublished or available only in Russian. Its central mathematical idea is to use topological methods to analyze isotropic invariant manifolds in order to obtain asymptotic series of eigenvalues and eigenvectors for the multidimensional Schr诤inger equation, and also to take into account the socalled tunnel effects. Finitedimensional linear theory is reviewed in detail. Infinitedimensional linear theory and its applications to quantum statistics and quantum field theory, as well as the nonlinear theory (involving instantons), will be considered in a second volume. 
System notes 
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL 
Notes 
Description based on print version record. 
Processing Action 
digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL 
Subject 
WKB approximation.


Differential equations, Linear  Asymptotic theory.


Differential equations, Nonlinear  Asymptotic theory.


Mathematical physics.


WKB, approximation. 

Equations diff⥲entielles lin⥡ires  Th⥯rie asymptotique. 

Equations diff⥲entielles non lin⥡ires  Th⥯rie asymptotique. 

Physique math⥭atique. 

Differential equations, Linear  Asymptotic theory. 

Differential equations, Nonlinear  Asymptotic theory. 

Mathematical physics. 

WKB approximation. 

Electronic books. 
ISBN 
3764350881 (alk. paper) 

9783764350888 (alk. paper) 

0817650881 (alk. paper) 

9780817650889 (alk. paper) 

9783034885362 (electronic bk.) 

3034885369 (electronic bk.) 
