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An Introduction to Semiclassical and Microlocal Analysis

2013-03-14 Mathematics
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Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 951/5 ( reviews)

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Book Synopsis An Introduction to Semiclassical and Microlocal Analysis by : André Bach

Download or read book An Introduction to Semiclassical and Microlocal Analysis written by André Bach. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the techniques used in the microlocal treatment of semiclassical problems coming from quantum physics in a pedagogical, way and is mainly addressed to non-specialists in the subject. It is based on lectures taught by the author over several years, and includes many exercises providing outlines of useful applications of the semi-classical theory.

An Introduction to Semiclassical and Microlocal Analysis

2014-01-15
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Release : 2014-01-15
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Kind : eBook
Book Rating : 965/5 ( reviews)

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Book Synopsis An Introduction to Semiclassical and Microlocal Analysis by : Lina Martins

Download or read book An Introduction to Semiclassical and Microlocal Analysis written by Lina Martins. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:

Semiclassical Analysis

2022-05-09 Mathematics
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Release : 2022-05-09
Genre : Mathematics
Kind : eBook
Book Rating : 624/5 ( reviews)

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Book Synopsis Semiclassical Analysis by : Maciej Zworski

Download or read book Semiclassical Analysis written by Maciej Zworski. This book was released on 2022-05-09. Available in PDF, EPUB and Kindle. Book excerpt: 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 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.

Semiclassical Analysis

2012 Mathematics
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Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 208/5 ( reviews)

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Book Synopsis Semiclassical Analysis by : Maciej Zworski

Download or read book Semiclassical Analysis written by Maciej Zworski. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: "...A graduate level text introducing readers to semiclassical and microlocal methods in PDE." -- from xi.

Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

2019-09-12 Mathematics
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Release : 2019-09-12
Genre : Mathematics
Kind : eBook
Book Rating : 570/5 ( reviews)

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Book Synopsis Microlocal Analysis, Sharp Spectral Asymptotics and Applications I by : Victor Ivrii

Download or read book Microlocal Analysis, Sharp Spectral Asymptotics and Applications I written by Victor Ivrii. This book was released on 2019-09-12. Available in PDF, EPUB and Kindle. Book excerpt: The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.

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