Spectral Asymptotics in the Semi-Classical Limit - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spectral Asymptotics in the Semi-Classical Limit write by Mouez Dimassi. This book was released on 1999-09-16. Spectral Asymptotics in the Semi-Classical Limit available in PDF, EPUB and Kindle. This book presents the basic methods and applications in semiclassical approximation in the light of developments.
Spectral Asymptotics in the Semi-Classical Limit
Spectral Asymptotics in the Semi-Classical Limit - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spectral Asymptotics in the Semi-Classical Limit write by Mouez Dimassi. This book was released on 2014-05-14. Spectral Asymptotics in the Semi-Classical Limit available in PDF, EPUB and Kindle. This book presents the basic methods and applications in semiclassical approximation in the light of developments.
Microlocal Analysis, Sharp Spectral Asymptotics and Applications I
Microlocal Analysis, Sharp Spectral Asymptotics and Applications I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Microlocal Analysis, Sharp Spectral Asymptotics and Applications I write by Victor Ivrii. This book was released on 2019-09-12. Microlocal Analysis, Sharp Spectral Asymptotics and Applications I available in PDF, EPUB and Kindle. 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.
Semiclassical Analysis
Semiclassical Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Semiclassical Analysis write by Maciej Zworski. This book was released on 2012. Semiclassical Analysis available in PDF, EPUB and Kindle. "...A graduate level text introducing readers to semiclassical and microlocal methods in PDE." -- from xi.
Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations
Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations write by Johannes Sjöstrand. This book was released on 2019-05-17. Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations available in PDF, EPUB and Kindle. The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago. In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in analytic cases). A first result in this direction was obtained by M. Hager in her thesis of 2005. Since then, further general results have been obtained, which are the main subject of the present book. Additional themes from the theory of non-self-adjoint operators are also treated. The methods are very much based on microlocal analysis and especially on pseudodifferential operators. The reader will find a broad field with plenty of open problems.
