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ISBN 13 :
Total Pages : 402 pages
Book Rating : 4.E/5 ( download)
Download or read book Méthodes Semi-classiques written by and published by . This book was released on 1992 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.:/5 (321 download)
Download or read book Méthodes Semi-classiques: Colloque international, Nantes, juin 1991 written by and published by . This book was released on 1992 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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ISBN 13 :
Total Pages : 211 pages
Book Rating : 4.:/5 (437 download)
Download or read book Méthodes Semi-classiques written by and published by . This book was released on 1992 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.:/5 (321 download)
Download or read book Methodes Semi-classiques: Ecole d'ete (Nantes, juin 1991) written by and published by . This book was released on 1992 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Methodes Semi-classiques written by and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jeffrey Rauch
Publisher : Springer Science & Business Media
ISBN 13 : 146121940X
Total Pages : 236 pages
Book Rating : 4.4/5 (612 download)
Download or read book Quasiclassical Methods written by Jeffrey Rauch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications QUASICLASSICAL METHODS is based on the proceedings of a very successful one-week workshop with the same title, which was an integral part of the 1994-1995 IMA program on "Waves and Scattering." We would like to thank Jeffrey Rauch and Barry Simon for their excellent work as organizers of the meeting. We also take this opportunity to thank the National Science Foun dation (NSF), the Army Research Office (ARO) and the Office of Naval Research (ONR), whose financial support made the workshop possible. A vner Friedman Robert Gulliver v PREFACE There are a large number of problems where qualitative features of a partial differential equation in an appropriate regime are determined by the behavior of an associated ordinary differential equation. The example which gives the area its name is the limit of quantum mechanical Hamil tonians (Schrodinger operators) as Planck's constant h goes to zero, which is determined by the corresponding classical mechanical system. A sec ond example is linear wave equations with highly oscillatory initial data. The solutions are described by geometric optics whose centerpiece are rays which are solutions of ordinary differential equations analogous to the clas sical mechanics equations in the example above. Much recent work has concerned with understanding terms beyond the leading term determined by the quasi classical limit. Two examples of this involve Weyl asymptotics and the large-Z limit of atomic Hamiltonians, both areas of current research.
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.
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ISBN 13 :
Total Pages : 595 pages
Book Rating : 4.:/5 (929 download)
Download or read book Méthodes semi-classiques written by and published by . This book was released on 1992 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nicholas P. Landsman
Publisher : Springer Science & Business Media
ISBN 13 : 146121680X
Total Pages : 547 pages
Book Rating : 4.4/5 (612 download)
Download or read book Mathematical Topics Between Classical and Quantum Mechanics written by Nicholas P. Landsman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph draws on two traditions: the algebraic formulation of quantum mechanics as well as quantum field theory, and the geometric theory of classical mechanics. These are combined in a unified treatment of the theory of Poisson algebras of observables and pure state spaces with a transition probability, which leads on to a discussion of the theory of quantization and the classical limit from this perspective. A prototype of quantization comes from the analogy between the C*- algebra of a Lie groupoid and the Poisson algebra of the corresponding Lie algebroid. The parallel between reduction of symplectic manifolds in classical mechanics and induced representations of groups and C*- algebras in quantum mechanics plays an equally important role. Examples from physics include constrained quantization, curved spaces, magnetic monopoles, gauge theories, massless particles, and $theta$- vacua. Accessible to mathematicians with some prior knowledge of classical and quantum mechanics, and to mathematical physicists and theoretical physicists with some background in functional analysis.
Author : Christian Gérard
Publisher : American Mathematical Soc.
ISBN 13 : 082182919X
Total Pages : 258 pages
Book Rating : 4.8/5 (218 download)
Download or read book Multiparticle Quantum Scattering in Constant Magnetic Fields written by Christian Gérard and published by American Mathematical Soc.. This book was released on 2002 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers a rigorous mathematical treatment of the scattering theory of quantum N-particle systems in an external constant magnetic field. In particular, it addresses the question of asymptotic completeness, a classification of all possible trajectories of such systems according to their asymptotic behaviour. The book adopts the so-called time-dependent approach to scattering theory, which relies on a direct study of the Schrodinger unitary group for large times. The modern methods of spectral and scattering theory introduced in the 1980's and 1990's, including the Mourre theory of positive commutators, propagation estimates, and geometrical techniques, are presented and heavily used. Additionally, new methods were developed by the authors in order to deal with the (much less understood) phenomena due to the presence of the magnetic field. The book is a good starting point for graduate students and researchers in mathematical physics who wish to move into this area of research. It includes expository material, research work previously available only in the form of journal articles, as well as some new unpublished results. The treatment of the subject is comprehensive and largely self-contained, and the text is carefully written with attention to detail.
Author : Masaki Kashiwara
Publisher : Academic Press
ISBN 13 : 1483267946
Total Pages : 501 pages
Book Rating : 4.4/5 (832 download)
Download or read book Algebraic Analysis written by Masaki Kashiwara and published by Academic Press. This book was released on 2014-05-10 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Analysis: Papers Dedicated to Professor Mikio Sato on the Occasion of his 60th Birthday, Volume II is a collection of research papers on algebraic analysis and related topics in honor to Professor Mikio Sato’s 60th birthday. This volume is divided into 29 chapters and starts with research works concerning the fundamentals of KP equations, strings, Schottky problem, and the applications of transformation theory for nonlinear integrable systems to linear prediction problems and isospectral deformations,. The subsequent chapters contain papers on the approach to nonlinear integrable systems, the Hodge numbers, the stochastic different equation for the multi-dimensional weakly stationary process, and a method of harmonic analysis on semisimple symmetric spaces. These topics are followed by studies on the quantization of extended vortices, moduli space for Fuchsian groups, microfunctions for boundary value problems, and the issues of multi-dimensional integrable systems. The remaining chapters explore the practical aspects of pseudodifferential operators in hyperfunction theory, the elliptic solitons, and Carlson’s theorem for holomorphic functions. This book will prove useful to mathematicians and advance mathematics students.
Author : Olaf Post
Publisher : Springer
ISBN 13 : 3642238408
Total Pages : 444 pages
Book Rating : 4.6/5 (422 download)
Download or read book Spectral Analysis on Graph-like Spaces written by Olaf Post and published by Springer. This book was released on 2012-01-05 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Small-radius tubular structures have attracted considerable attention in the last few years, and are frequently used in different areas such as Mathematical Physics, Spectral Geometry and Global Analysis. In this monograph, we analyse Laplace-like operators on thin tubular structures ("graph-like spaces''), and their natural limits on metric graphs. In particular, we explore norm resolvent convergence, convergence of the spectra and resonances. Since the underlying spaces in the thin radius limit change, and become singular in the limit, we develop new tools such as norm convergence of operators acting in different Hilbert spaces, an extension of the concept of boundary triples to partial differential operators, and an abstract definition of resonances via boundary triples. These tools are formulated in an abstract framework, independent of the original problem of graph-like spaces, so that they can be applied in many other situations where the spaces are perturbed.
Author : Elliott H. Lieb
Publisher : Springer Science & Business Media
ISBN 13 : 3662043602
Total Pages : 791 pages
Book Rating : 4.6/5 (62 download)
Download or read book The Stability of Matter: From Atoms to Stars written by Elliott H. Lieb and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent current review of our knowledge of matter. In this new edition two new sections have been added: quantum electrodynamics and Boson systems.
Author : Elliott H. Lieb
Publisher : Springer Science & Business Media
ISBN 13 : 3642559255
Total Pages : 687 pages
Book Rating : 4.6/5 (425 download)
Download or read book Inequalities written by Elliott H. Lieb and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities play a fundamental role in Functional Analysis and it is widely recognized that finding them, especially sharp estimates, is an art. E. H. Lieb has discovered a host of inequalities that are enormously useful in mathematics as well as in physics. His results are collected in this book which should become a standard source for further research. Together with the mathematical proofs the author also presents numerous applications to the calculus of variations and to many problems of quantum physics, in particular to atomic physics.
Author : Cyril Tintarev
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110532433
Total Pages : 227 pages
Book Rating : 4.1/5 (15 download)
Download or read book Concentration Compactness written by Cyril Tintarev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-02-10 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concentration compactness methods are applied to PDE's that lack compactness properties, typically due to the scaling invariance of the underlying problem. This monograph presents a systematic functional-analytic presentation of concentration mechanisms and is by far the most extensive and systematic collection of mathematical tools for analyzing the convergence of functional sequences via the mechanism of concentration.
Author : R.P. Gilbert
Publisher : Springer Science & Business Media
ISBN 13 : 9780792360056
Total Pages : 466 pages
Book Rating : 4.3/5 (6 download)
Download or read book Direct and Inverse Problems of Mathematical Physics written by R.P. Gilbert and published by Springer Science & Business Media. This book was released on 2000-04-30 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of papers presented in the special sessions on "Wave Phenomena and Related Topics", and "Asymptotics and Homogenization" of the ISAAC'97 Congress held at the University of Delaware, during June 2-7, 1997. The ISAAC Congress coincided with a U.S.-Japan Seminar also held at the University of Delaware. The latter was supported by the National Science Foundation through Grant INT -9603029 and the Japan Society for the Promotion of Science through Grant MTCS-134. It was natural that the 'participants of both meetings should interact and consequently several persons attending the Congress also presented papers in the Seminar. The success of the ISAAC Congress and the U.S.-Japan Seminar has led to the ISAAC'99 Congress being held in Fukuoka, Japan during August 1999. Many of the same participants will return to this Seminar. Indeed, it appears that the spirit of the U.S.-Japan Seminar will be continued every second year as part of the ISAAC Congresses. We decided to include with the papers presented in the ISAAC Congress and the U.S.-Japan Seminar several very good papers by colleagues from the former Soviet Union. These participants in the ISAAC Congress attended at their own expense. This volume has the title Direct and Inverse Problems of Mathematical Physics which consists of the papers on scattering theory, coefficient identification, uniqueness and existence theorems, boundary controllability, wave propagation in stratified media, viscous flows, nonlinear acoustics, Sobolev spaces, singularity theory, pseudo differential operators, and semigroup theory.
Author : Motoko Kotani
Publisher : American Mathematical Soc.
ISBN 13 : 0821842692
Total Pages : 363 pages
Book Rating : 4.8/5 (218 download)
Download or read book Spectral Analysis in Geometry and Number Theory written by Motoko Kotani and published by American Mathematical Soc.. This book was released on 2009 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an outgrowth of an international conference in honor of Toshikazu Sunada on the occasion of his sixtieth birthday. The conference took place at Nagoya University, Japan, in 2007. Sunada's research covers a wide spectrum of spectral analysis, including interactions among geometry, number theory, dynamical systems, probability theory and mathematical physics. Readers will find papers on trace formulae, isospectral problems, zeta functions, quantum ergodicity, random waves, discrete geometric analysis, value distribution, and semiclassical analysis. This volume also contains an article that presents an overview of Sunada's work in mathematics up to the age of sixty.
