Semiclassical analysis
 Author/Creator
 Zworski, Maciej.
 Language
 English.
 Imprint
 Providence, R.I. : American Mathematical Society, c2012.
 Physical description
 xii, 431 p. : ill ; 27 cm.
 Series
 Graduate studies in mathematics ; v. 138.
Access
Available online

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QC174.17 .D54 Z96 2012

Unknown
QC174.17 .D54 Z96 2012
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Contents/Summary
 Bibliography
 Includes bibliographical references (p. 421426) and index.
 Publisher's Summary
 This book is an excellent, comprehensive introduction to semiclassical analysis. I believe it will become a standard reference for the subject. Alejandro Uribe, University of Michigan Semiclassical analysis provides PDE techniques based on the classicalquantum (particlewave) correspondence. These techniques include such wellknown tools as geometric optics and the WentzelKramersBrillouin approximation. Examples of problems studied in this subject are high energy eigenvalue asymptotics and effective dynamics for solutions of evolution equations. From the mathematical point of view, semiclassical analysis is a branch of microlocal analysis which, broadly speaking, applies harmonic analysis and symplectic geometry to the study of linear and nonlinear PDE. The book is intended to be a graduate level text introducing readers to semiclassical and microlocal methods in PDE. It is augmented in later chapters with many specialized advanced topics which provide a link to current research literature.
(source: Nielsen Book Data)
Subjects
 Subject
 Quantum theory > Mathematics.
 Differential equations, Partial.
 Partial differential equations  Equations of mathematical physics and other areas of application  PDEs in connection with quantum mechanics.
 Quantum theory  General mathematical topics and methods in quantum theory  Semiclassical techniques, including WKB and Maslov methods.
 Partial differential equations  Pseudodifferential operators and other generalizations of partial differential operators  Pseudodifferential operators.
 Partial differential equations  Pseudodifferential operators and other generalizations of partial differential operators  Fourier integral operators.
 Partial differential equations  Spectral theory and eigenvalue problems  Asymptotic distribution of eigenvalues and eigenfunctions.
 Quantum theory  General quantum mechanics and problems of quantization  Geometry and quantization, symplectic methods.
Bibliographic information
 Publication date
 2012
 Responsibility
 Maciej Zworski.
 Series
 Graduate studies in mathematics ; v. 138
 ISBN
 9780821883204
 0821883208