Spectral asymptotics in the semiclassical limit [EBook] / Mouez Dimassi, Johannes Sjöstrand.
Spectral asymptotics in the semiclassical limit [EBook] / Mouez Dimassi, Johannes Sjöstrand.
Semiclassical approximation addresses the important relationship between quantum and classical mechanics. There has been a very strong development in the mathematical theory, mainly thanks to methods of microlocal analysis. This book develops the basic methods, including the WKBmethod, stationary p...
Personal Name(s):  Dimassi, Mouez, (author) 

Sjöstrand, J., (author)  
Imprint: 
Cambridge :
Cambridge University Press,
1999

Physical Description: 
1 online resource (xi, 227 pages) 
Note: 
englisch 
ISBN: 
9780511662195 9780521665445 
Series Title: 
London Mathematical Society lecture note series ;
268 
Subject (LOC):  
Full Text 
Table of Contents:
 Local symplectic geometry
 The WKBmethod
 The WKBmethod for a potential minimum
 Selfadjoint operators
 The method of stationary phase
 Tunnel effect and interaction matrix
 @hpseudodifferential operators
 Functional calculus for pseudodifferential operators
 Trace class operators and applications of the functional calculus
 More precise spectral asymptotics for noncritical Hamiltonians
 Improvement when the periodic trajectories form a set of measure 0
 A more general study of the trace
 Spectral theory for perturbed periodic problems
 Normal forms for some scalar pseudodifferential operators
 Spectrum of operators with periodic bicharacteristics.