Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Semi Classical Analysis For The Schrodinger Operator And Applications full books in PDF, epub, and Kindle. Read online Semi Classical Analysis For The Schrodinger Operator And Applications ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Bernard Helffer
Publisher :
ISBN 13 : 9783662171738
Total Pages : 120 pages
Book Rating : 4.1/5 (717 download)
Download or read book Semi-Classical Analysis for the Schrodinger Operator and Applications written by Bernard Helffer and published by . This book was released on 2014-01-15 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bernard Helffer
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (76 download)
Download or read book Introduction to the Semi-classical Analysis for the Schrödinger Operator and Applications written by Bernard Helffer and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bernard Helffer
Publisher : Springer
ISBN 13 : 3540459138
Total Pages : 113 pages
Book Rating : 4.5/5 (44 download)
Download or read book Semi-Classical Analysis for the Schrödinger Operator and Applications written by Bernard Helffer and published by Springer. This book was released on 2006-11-15 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to semi-classical analysis is an extension of a course given by the author at the University of Nankai. It presents for some of the standard cases presented in quantum mechanics books a rigorous study of the tunneling effect, as an introduction to recent research work. The book may be read by a graduate student familiar with the classic book of Reed-Simon, and for some chapters basic notions in differential geometry. The mathematician will find here a nice application of PDE techniques and the physicist will discover the precise link between approximate solutions (B.K.W. constructions) and exact eigenfunctions (in every dimension). An application to Witten's approach for the proof of the Morse inequalities is given, as are recent results for the Schrödinger operator with periodic potentials.
Author : Bernard Helffer
Publisher :
ISBN 13 : 9787506204002
Total Pages : 107 pages
Book Rating : 4.2/5 (4 download)
Download or read book Introduction to the Semi-classical Analysis for the Schr鮫dinger Operator and Applications written by Bernard Helffer and published by . This book was released on 1988 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : André Bach
Publisher : Springer Science & Business Media
ISBN 13 : 1475744951
Total Pages : 193 pages
Book Rating : 4.4/5 (757 download)
Download or read book An Introduction to Semiclassical and Microlocal Analysis written by André Bach and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 193 pages. 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.
Author : Maciej Zworski
Publisher : American Mathematical Soc.
ISBN 13 : 0821883208
Total Pages : 448 pages
Book Rating : 4.8/5 (218 download)
Download or read book Semiclassical Analysis written by Maciej Zworski and published by American Mathematical Soc.. This book was released on 2012 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: "...A graduate level text introducing readers to semiclassical and microlocal methods in PDE." -- from xi.
Author : Remi Carles
Publisher : World Scientific
ISBN 13 : 9811227926
Total Pages : 367 pages
Book Rating : 4.8/5 (112 download)
Download or read book Semi-classical Analysis For Nonlinear Schrodinger Equations: Wkb Analysis, Focal Points, Coherent States (Second Edition) written by Remi Carles and published by World Scientific. This book was released on 2020-10-05 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this book consists of three parts. The first one is dedicated to the WKB methods and the semi-classical limit before the formation of caustics. The second part treats the semi-classical limit in the presence of caustics, in the special geometric case where the caustic is reduced to a point (or to several isolated points). The third part is new in this edition, and addresses the nonlinear propagation of coherent states. The three parts are essentially independent.Compared with the first edition, the first part is enriched by a new section on multiphase expansions in the case of weakly nonlinear geometric optics, and an application related to this study, concerning instability results for nonlinear Schrödinger equations in negative order Sobolev spaces.The third part is an overview of results concerning nonlinear effects in the propagation of coherent states, in the case of a power nonlinearity, and in the richer case of Hartree-like nonlinearities. It includes explicit formulas of an independent interest, such as generalized Mehler's formula, generalized lens transform.
Author : Bernard Helffer
Publisher : World Scientific
ISBN 13 : 9789812380982
Total Pages : 200 pages
Book Rating : 4.3/5 (89 download)
Download or read book Semiclassical Analysis, Witten Laplacians, and Statistical Mechanics written by Bernard Helffer and published by World Scientific. This book was released on 2002 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important book explains how the technique of Witten Laplacians may be useful in statistical mechanics. It considers the problem of analyzing the decay of correlations, after presenting its origin in statistical mechanics. In addition, it compares the Witten Laplacian approach with other techniques, such as the transfer matrix approach and its semiclassical analysis. The author concludes by providing a complete proof of the uniform Log-Sobolev inequality.
Author : P.D. Hislop
Publisher : Springer Science & Business Media
ISBN 13 : 146120741X
Total Pages : 331 pages
Book Rating : 4.4/5 (612 download)
Download or read book Introduction to Spectral Theory written by P.D. Hislop and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intention of this book is to introduce students to active areas of research in mathematical physics in a rather direct way minimizing the use of abstract mathematics. The main features are geometric methods in spectral analysis, exponential decay of eigenfunctions, semi-classical analysis of bound state problems, and semi-classical analysis of resonance. A new geometric point of view along with new techniques are brought out in this book which have both been discovered within the past decade. This book is designed to be used as a textbook, unlike the competitors which are either too fundamental in their approach or are too abstract in nature to be considered as texts. The authors' text fills a gap in the marketplace.
Author : Victor Guillemin
Publisher :
ISBN 13 : 9781571462763
Total Pages : 446 pages
Book Rating : 4.4/5 (627 download)
Download or read book Semi-classical Analysis written by Victor Guillemin and published by . This book was released on 2013 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bernard Helffer
Publisher :
ISBN 13 :
Total Pages : 107 pages
Book Rating : 4.:/5 (115 download)
Download or read book Semi-classical Analysis for the Schrödinger Operator and Applications written by Bernard Helffer and published by . This book was released on 1988 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Spyridon Kamvissis
Publisher : Princeton University Press
ISBN 13 : 1400837189
Total Pages : 280 pages
Book Rating : 4.4/5 (8 download)
Download or read book Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation (AM-154) written by Spyridon Kamvissis and published by Princeton University Press. This book was released on 2003-08-18 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents the first asymptotic analysis, via completely integrable techniques, of the initial value problem for the focusing nonlinear Schrödinger equation in the semiclassical asymptotic regime. This problem is a key model in nonlinear optical physics and has increasingly important applications in the telecommunications industry. The authors exploit complete integrability to establish pointwise asymptotics for this problem's solution in the semiclassical regime and explicit integration for the underlying nonlinear, elliptic, partial differential equations suspected of governing the semiclassical behavior. In doing so they also aim to explain the observed gradient catastrophe for the underlying nonlinear elliptic partial differential equations, and to set forth a detailed, pointwise asymptotic description of the violent oscillations that emerge following the gradient catastrophe. To achieve this, the authors have extended the reach of two powerful analytical techniques that have arisen through the asymptotic analysis of integrable systems: the Lax-Levermore-Venakides variational approach to singular limits in integrable systems, and Deift and Zhou's nonlinear Steepest-Descent/Stationary Phase method for the analysis of Riemann-Hilbert problems. In particular, they introduce a systematic procedure for handling certain Riemann-Hilbert problems with poles accumulating on curves in the plane. This book, which includes an appendix on the use of the Fredholm theory for Riemann-Hilbert problems in the Hölder class, is intended for researchers and graduate students of applied mathematics and analysis, especially those with an interest in integrable systems, nonlinear waves, or complex analysis.
Author : Mouez Dimassi
Publisher : Cambridge University Press
ISBN 13 : 0521665442
Total Pages : 243 pages
Book Rating : 4.5/5 (216 download)
Download or read book Spectral Asymptotics in the Semi-Classical Limit written by Mouez Dimassi and published by Cambridge University Press. This book was released on 1999-09-16 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basic methods and applications in semiclassical approximation in the light of developments.
Author : Maciej Zworski
Publisher : American Mathematical Society
ISBN 13 : 1470470624
Total Pages : 431 pages
Book Rating : 4.4/5 (74 download)
Download or read book Semiclassical Analysis written by Maciej Zworski and published by American Mathematical Society. This book was released on 2022-05-09 with total page 431 pages. 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.
Author : Bernard Helffer
Publisher : World Scientific
ISBN 13 : 9814487902
Total Pages : 190 pages
Book Rating : 4.8/5 (144 download)
Download or read book Semiclassical Analysis, Witten Laplacians, And Statistical Mechanics written by Bernard Helffer and published by World Scientific. This book was released on 2002-09-10 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important book explains how the technique of Witten Laplacians may be useful in statistical mechanics. It considers the problem of analyzing the decay of correlations, after presenting its origin in statistical mechanics. In addition, it compares the Witten Laplacian approach with other techniques, such as the transfer matrix approach and its semiclassical analysis. The author concludes by providing a complete proof of the uniform Log-Sobolev inequality.
Author : Victor Ivrii
Publisher : Springer Nature
ISBN 13 : 3030305570
Total Pages : 889 pages
Book Rating : 4.0/5 (33 download)
Download or read book Microlocal Analysis, Sharp Spectral Asymptotics and Applications I written by Victor Ivrii and published by Springer Nature. This book was released on 2019-09-12 with total page 889 pages. 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.
Author : Vassili N. Kolokoltsov
Publisher : Springer
ISBN 13 : 3540465871
Total Pages : 360 pages
Book Rating : 4.5/5 (44 download)
Download or read book Semiclassical Analysis for Diffusions and Stochastic Processes written by Vassili N. Kolokoltsov and published by Springer. This book was released on 2007-12-03 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph is devoted mainly to the analytical study of the differential, pseudo-differential and stochastic evolution equations describing the transition probabilities of various Markov processes. These include (i) diffusions (in particular,degenerate diffusions), (ii) more general jump-diffusions, especially stable jump-diffusions driven by stable Lévy processes, (iii) complex stochastic Schrödinger equations which correspond to models of quantum open systems. The main results of the book concern the existence, two-sided estimates, path integral representation, and small time and semiclassical asymptotics for the Green functions (or fundamental solutions) of these equations, which represent the transition probability densities of the corresponding random process. The boundary value problem for Hamiltonian systems and some spectral asymptotics ar also discussed. Readers should have an elementary knowledge of probability, complex and functional analysis, and calculus.
