Spectral Asymptotics in the Semi-Classical Limit (Paperback) (ISBN-13: 9780521665445)

Semiclassical approximation addresses the important relationship between quantum and classical mechanics. In recent years mathematical theory has undergone significant growth, mainly due to microlocal analysis techniques. This volume develops the basic methods of the theory, including the WKB-method, stationary phase and h-pseudodifferential operators. The authors employ the systematic use of a Cauchy formula that simplifies the functional calculus of pseudodifferential operators. The applications described include recent results on the tunnel effect, the asymptotics of eigenvalues in relation to classical trajectories and normal forms, plus slow perturbations of periodic Schrödinger operators appearing in solid state physics. The text assumes no previous specialized knowledge in quantum mechanics or microlocal analysis, and only general knowledge of spectral theory in Hilbert space, distributions, Fourier transforms and some differential geometry.

Author: M. Dimassi,Mouez Dimassi,J. Sjostrand
ISBN-10: 0521665442
ISBN-13: 9780521665445
Publisher: Cambridge University Press
Language: English
Published: 09/16/1999
Pages: 240
Format: Paperback
Weight: 0.71lbs
Size: 9.03h x 6.06w x 0.52d

Review Citation(s):
Scitech Book News 06/01/2001 pg. 52