Semiclassical analysis

by Zworski, Maciej

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" ... A graduate level text introducing readers to semiclassical and microlocal methods in PDE."--Xi.

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Title Statements

Full title :Semiclassical analysis / Maciej Zworski.

Summary

" ... A graduate level text introducing readers to semiclassical and microlocal methods in PDE."--Xi.

Edition Statements

Publication Date:2012

Publication Statements

Publisher(s):American mathematical Society
Place of Publication:Providence, Rhode Island
Language:eng
Publication Date:2012

Notes

"Applied Mathematics"--Cover.

The Physical Object

Description:1 online resource.

Edition Identifiers

ISBN:9780821889954, 0821889958
oclc:ocn908071860
LC Classification:QC174.17.D54
Dewey Decimal:515

Cover -- Title page -- Contents -- Preface -- Introduction -- Part I. Basic theory -- Symplectic geometry and analysis -- Fourier transform, stationary phase -- Semiclassical quantization -- Part II. Applications to partial differential equations -- Semiclassical defect measures -- Eigenvalues and eigenfunctions -- Estimates for solutions of PDE -- Part III. Advanced theory and applications -- More on the symbol calculus -- Changing variables -- Fourier integral operators -- Quantum and classical dynamics -- Normal forms -- The FBI transform

Part IV. Semiclassical analysis on manifoldsManifolds -- Quantum ergodicity -- Part V. Appendices -- Notation -- Differential forms -- Functional analysis -- Fredholm theory -- Bibliography -- Index -- Back Cover

Subjects

Differential Equations, Partial Équations aux dérivées partielles MATHEMATICS -- Calculus Mathematics -- Mathematical Analysis Partial differential equations -- Equat… Partial differential equations -- Pseud… Partial differential equations -- Spect… Quantum theory -- General mathematical … Quantum theory -- General quantum mecha… Quantum theory -- Mathematics Théorie quantique -- Mathématiques