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, R.I
Language:eng
Publication Date:©2012.

The Physical Object

Description:xii, 431 pages ; : 27 cm.

Edition Identifiers

ISBN:9780821883204, 0821883208
oclc:ocn786273167
LC Classification:QC174.17.D54
Dewey Decimal:515

Ch. 1. Introduction -- ch. 2. Symplectic geometry and analysis -- ch. 3. Fourier transform, stationary phase -- ch. 4. Semiclassical quantization -- ch. 5. Semiclassical defect measures -- ch. 6. Eigenvalues and eigenfunctions -- ch. 7. Estimates for solutions of PDE -- ch. 8. More on the symbol calculus -- ch. 9. Changing variables -- ch. 10. Fourier integral operators -- ch. 11. Quantum and classical dynamics -- ch. 12. Normal forms -- ch. 13. The FBI transform -- ch. 14. Manifolds -- ch. 15. Quantum ergodicity -- appendix a. Notation -- appendix b. Differential forms -- appendix c. Functional analysis -- appendix d. Fredholm theory.

Subjects

Differential Equations, Partial Équations aux dérivées partielles Partial differential equations -- Equat… Partial differential equations -- Pseud… Partial differential equations -- Spect… Partielle Differentialgleichung Pseudodifferential operators Quantum theory -- General mathematical … Quantum theory -- General quantum mecha… Quantum theory -- Mathematics Théorie quantique -- Mathématiques