ENGLISH

Semiclassical Analysis

By Maciej Zworski

Book information

Publisher
American Mathematical Society
Year
2012
ISBN
0821883208, 9780821883204
Language
english
Format
PDF
Filesize
5 MB (5363138 bytes)
Series
Graduate Studies in Mathematics, Vol. 138
Pages
C+xii+431+B\446
DPI
600
Orientation
portrait
Paginated
yes
Scanned
yes
Time added
2014-02-11 00:14:21

Description

Semiclassical analysis provides PDE techniques based on the classical-quantum (particle-wave) correspondence. These techniques include such well-known tools as geometric optics and the Wentzel-Kramers-Brillouin 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. Readership: Graduate students and research mathematicians interested in semiclassical and microlocal methods in partial differential equations

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