Asymptotic Completeness, Global Existence and the Infrared Problem for the

Download Asymptotic Completeness, Global Existence and the Infrared Problem for the PDF Online Free

Author :
Publisher : Oxford University Press, USA
ISBN 13 : 9781470401917
Total Pages : 328 pages
Book Rating : 4.4/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Asymptotic Completeness, Global Existence and the Infrared Problem for the by : Moshé Flato

Download or read book Asymptotic Completeness, Global Existence and the Infrared Problem for the written by Moshé Flato and published by Oxford University Press, USA. This book was released on 2014-09-11 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this work is to present and give full proofs of new original research results concerning integration of and scattering for the classical Maxwell-Dirac equations.

Asymptotic Completeness, Global Existence and the Infrared Problem for the Maxwell-Dirac Equations

Download Asymptotic Completeness, Global Existence and the Infrared Problem for the Maxwell-Dirac Equations PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821806831
Total Pages : 311 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Asymptotic Completeness, Global Existence and the Infrared Problem for the Maxwell-Dirac Equations by : Moshé Flato

Download or read book Asymptotic Completeness, Global Existence and the Infrared Problem for the Maxwell-Dirac Equations written by Moshé Flato and published by American Mathematical Soc.. This book was released on 1997 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this work is to present and give full proofs of new original research results concerning integration of and scattering for the classical Maxwell-Dirac equations. These equations govern first quantized electrodynamics and are the starting point for a rigorous formulation of quantum electrodynamics. The presentation is given within the formalism of nonlinear group and Lie algebra representations, i.e. the powerful new approach to nonlinear evolution equations covariant under a group action. The authors prove that the nonlinear Lie algebra representation given by the manifestly covariant Maxwell-Dirac equations is integrable to a global nonlinear representation of the Poincare group on a differentiable manifold of small initial conditions. This solves, in particular, the small-data Cauchy problem for the Maxwell-Dirac equations globally in time. The existence of modified wave operators and asymptotic completeness is proved. The asymptotic representations (at infinite time) turn out to be nonlinear. A cohomological interpretation of the results in the spirit of nonlinear representation theory and its connection to the infrared tail of the electron are developed.

Topics In Mathematical Physics General Relativity And Cosmology In Honor Of Jerzy Plebanski - Proceedings Of 2002 International Conference

Download Topics In Mathematical Physics General Relativity And Cosmology In Honor Of Jerzy Plebanski - Proceedings Of 2002 International Conference PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9814476900
Total Pages : 526 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!


Book Synopsis Topics In Mathematical Physics General Relativity And Cosmology In Honor Of Jerzy Plebanski - Proceedings Of 2002 International Conference by : Bogdan Mielnik

Download or read book Topics In Mathematical Physics General Relativity And Cosmology In Honor Of Jerzy Plebanski - Proceedings Of 2002 International Conference written by Bogdan Mielnik and published by World Scientific. This book was released on 2006-08-10 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of modern science's most famous and controversial figures, Jerzy Plebanski was an outstanding theoretical physicist and an author of many intriguing discoveries in general relativity and quantum theory. Known for his exceptional analytic talents, explosive character, inexhaustible energy, and bohemian nights with brandy, coffee, and enormous amounts of cigarettes, he was dedicated to both science and art, producing innumerable handwritten articles — resembling monk's calligraphy — as well as a collection of oil paintings.As a collaborator but also an antagonist of Leopold Infeld's (a coauthor of Albert Einstein's), Plebanski is recognized for designing the “heavenly” and “hyper-heavenly” equations, for introducing new variables to describe the gravitational field, for the exact solutions in Einstein's gravity and in quantum theory, for his classification of the tensor of matter, for some outstanding results in nonlinear electrodynamics, and for analyzing general relativity with continuous sources long before Chandrasekhar et al.A tribute to Plebański's contributions and the variety of his interests, this is a unique and wide-ranging collection of invited papers, covering gravity quantization, strings, branes, supersymmetry, ideas on the deformation quantization, and lesser known results on the continuous Baker-Campbell-Hausdorff problem.

Global Well-Posedness of High Dimensional Maxwell–Dirac for Small Critical Data

Download Global Well-Posedness of High Dimensional Maxwell–Dirac for Small Critical Data PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 147044111X
Total Pages : 94 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Global Well-Posedness of High Dimensional Maxwell–Dirac for Small Critical Data by : Cristian Gavrus

Download or read book Global Well-Posedness of High Dimensional Maxwell–Dirac for Small Critical Data written by Cristian Gavrus and published by American Mathematical Soc.. This book was released on 2020-05-13 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the authors prove global well-posedness of the massless Maxwell–Dirac equation in the Coulomb gauge on R1+d(d≥4) for data with small scale-critical Sobolev norm, as well as modified scattering of the solutions. Main components of the authors' proof are A) uncovering null structure of Maxwell–Dirac in the Coulomb gauge, and B) proving solvability of the underlying covariant Dirac equation. A key step for achieving both is to exploit (and justify) a deep analogy between Maxwell–Dirac and Maxwell-Klein-Gordon (for which an analogous result was proved earlier by Krieger-Sterbenz-Tataru, which says that the most difficult part of Maxwell–Dirac takes essentially the same form as Maxwell-Klein-Gordon.

Collection Of Papers On Geometry, Analysis And Mathematical Physics

Download Collection Of Papers On Geometry, Analysis And Mathematical Physics PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9814497797
Total Pages : 187 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!


Book Synopsis Collection Of Papers On Geometry, Analysis And Mathematical Physics by : Tatsien Li

Download or read book Collection Of Papers On Geometry, Analysis And Mathematical Physics written by Tatsien Li and published by World Scientific. This book was released on 1997-02-03 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is published in honor of Professor Gu Chaohao, a renowned mathematician and member of the Chinese Academy of Sciences, on the occasion of his 70th birthday and his 50th year of educational work. The subjects covered by this collection are closely related to differential geometry, partial differential equations and mathematical physics — the major areas in which Professor Gu has received notable achievements. Many distinguished mathematicians all over the world contributed their papers to this collection. This collection also consists of “Gu Chaohao and I” written by C N Yang, “The academic career and accomplishment of Professor Gu Chaohao” by T T Li and “List of publications of Professor Gu Chaohao”.

Spectral Asymptotics on Degenerating Hyperbolic 3-Manifolds

Download Spectral Asymptotics on Degenerating Hyperbolic 3-Manifolds PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821808370
Total Pages : 90 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Spectral Asymptotics on Degenerating Hyperbolic 3-Manifolds by : Józef Dodziuk

Download or read book Spectral Asymptotics on Degenerating Hyperbolic 3-Manifolds written by Józef Dodziuk and published by American Mathematical Soc.. This book was released on 1998 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, the authors study asymptotics of the geometry and spectral theory of degenerating sequences of finite volume hyperbolic manifolds of three dimensions. Thurston's hyperbolic surgery theorem assets the existence of non-trivial sequences of finite volume hyperbolic three manifolds which converge to a three manifold with additional cusps. In the geometric aspect of their study, the authors use the convergence of hyperbolic metrics on the thick parts of the manifolds under consideration to investigate convergentce of tubes in the manifolds of the sequence to cusps of the limiting manifold. In the specral theory aspect of the work, they prove convergence of heat kernels. They then define a regualrized heat race associated to any finite volume, complete, hyperbolic three manifold, and study its asymptotic behaviour through degeneration. As an application of the analysis of the regularized heat trace, they study asymptotic behaviours of the spectral zeta function, determinant of the Laplacian, Selberg zeta function, and spectral counting functions through degeneration. The authors' methods are an adaptation to three dimensions of the earlier work of Jorgenson and Lundelius who investigated the asymptotic behaviour of spectral functions on degenerating families of finite area hyperbolic Riemann surfaces.

Existence and Persistence of Invariant Manifolds for Semiflows in Banach Space

Download Existence and Persistence of Invariant Manifolds for Semiflows in Banach Space PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821808680
Total Pages : 145 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Existence and Persistence of Invariant Manifolds for Semiflows in Banach Space by : Peter W. Bates

Download or read book Existence and Persistence of Invariant Manifolds for Semiflows in Banach Space written by Peter W. Bates and published by American Mathematical Soc.. This book was released on 1998 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extends the theory for normally hyperbolic invariant manifolds to infinite dimensional dynamical systems in a Banach space, thereby providing tools for the study of PDE's and other infinite dimensional equations of evolution. In the process, the authors establish the existence of center-unstable and center-stable manifolds in a neighborhood of the unperturbed compact manifold. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Conférence Moshé Flato 1999

Download Conférence Moshé Flato 1999 PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9780792365402
Total Pages : 446 pages
Book Rating : 4.3/5 (654 download)

DOWNLOAD NOW!


Book Synopsis Conférence Moshé Flato 1999 by : Giuseppe Dito

Download or read book Conférence Moshé Flato 1999 written by Giuseppe Dito and published by Springer Science & Business Media. This book was released on 2000-07-31 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes constitute the Proceedings of the `Conférence Moshé Flato, 1999'. Their spectrum is wide but the various areas covered are, in fact, strongly interwoven by a common denominator, the unique personality and creativity of the scientist in whose honor the Conference was held, and the far-reaching vision that underlies his scientific activity. With these two volumes, the reader will be able to take stock of the present state of the art in a number of subjects at the frontier of current research in mathematics, mathematical physics, and physics. Volume I is prefaced by reminiscences of and tributes to Flato's life and work. It also includes a section on the applications of sciences to insurance and finance, an area which was of interest to Flato before it became fashionable. The bulk of both volumes is on physical mathematics, where the reader will find these ingredients in various combinations, fundamental mathematical developments based on them, and challenging interpretations of physical phenomena. Audience: These volumes will be of interest to researchers and graduate students in a variety of domains, ranging from abstract mathematics to theoretical physics and other applications. Some parts will be accessible to proficient undergraduate students, and even to persons with a minimum of scientific knowledge but enough curiosity.

Families of Curves in P^3 and Zeuthen's Problem

Download Families of Curves in P^3 and Zeuthen's Problem PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821806483
Total Pages : 96 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Families of Curves in P^3 and Zeuthen's Problem by : Robin Hartshorne

Download or read book Families of Curves in P^3 and Zeuthen's Problem written by Robin Hartshorne and published by American Mathematical Soc.. This book was released on 1997 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Content Description #"November 1997, volume 130, number 617 (first of 4 numbers)."#On t.p. "P" is blackboard bold.#Includes bibliographical references.

The Riemann Problem for the Transportation Equations in Gas Dynamics

Download The Riemann Problem for the Transportation Equations in Gas Dynamics PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821809474
Total Pages : 77 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis The Riemann Problem for the Transportation Equations in Gas Dynamics by : Wancheng Sheng

Download or read book The Riemann Problem for the Transportation Equations in Gas Dynamics written by Wancheng Sheng and published by American Mathematical Soc.. This book was released on 1999 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, the one-dimensional and two-dimensional Riemann problems for the transportation equations in gas dynamics are solved constructively. In either the 1-D or 2-D case, there are only two kinds of solutions: one involves Dirac delta waves, and the other involves vacuums, which have been merely discussed so far. The generalized Rankine-Hugoniot and entropy conditions for Dirac delta waves are clarified with viscous vanishing method. All of the existence, uniqueness and stability for viscous perturbations are proved analytically.

Generalized Symplectic Geometries and the Index of Families of Elliptic Problems

Download Generalized Symplectic Geometries and the Index of Families of Elliptic Problems PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821806211
Total Pages : 98 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Generalized Symplectic Geometries and the Index of Families of Elliptic Problems by : Liviu I. Nicolaescu

Download or read book Generalized Symplectic Geometries and the Index of Families of Elliptic Problems written by Liviu I. Nicolaescu and published by American Mathematical Soc.. This book was released on 1997 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, an index theorem is proved for arbitrary families of elliptic boundary value problems for Dirac operators and a surgery formula for the index of a family of Dirac operators on a closed manifold. Also obtained is a very general result on the cobordism invariance of the index of a family. All results are established by first symplectically rephrasing the problems and then using a generalized symplectic reduction technique. This provides a unified approach to all possible parameter spaces and all possible symmetries of a Dirac operator (eigh symmetries in the real case and two in the complex case). This text will also be of interest to those working in geometry and topology.

The Integral Manifolds of the Three Body Problem

Download The Integral Manifolds of the Three Body Problem PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821806920
Total Pages : 91 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis The Integral Manifolds of the Three Body Problem by : Christopher Keil McCord

Download or read book The Integral Manifolds of the Three Body Problem written by Christopher Keil McCord and published by American Mathematical Soc.. This book was released on 1998 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: The phase space of the spatial three-body problem is an open subset in ${\mathbb R}^{18}$. Holding the ten classical integrals of energy, center of mass, linear and angular momentum fixed defines an eight dimensional submanifold. For fixed nonzero angular momentum, the topology of this manifold depends only on the energy. This volume computes the homology of this manifold for all energy values. This table of homology shows that for negative energy, the integral manifolds undergo seven bifurcations. Four of these are the well-known bifurcations due to central configurations, and three are due to 'critical points at infinity'. This disproves Birkhoff's conjecture that the bifurcations occur only at central configurations.

Differential Equations Methods for the Monge-Kantorovich Mass Transfer Problem

Download Differential Equations Methods for the Monge-Kantorovich Mass Transfer Problem PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821809385
Total Pages : 66 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Differential Equations Methods for the Monge-Kantorovich Mass Transfer Problem by : Lawrence C. Evans

Download or read book Differential Equations Methods for the Monge-Kantorovich Mass Transfer Problem written by Lawrence C. Evans and published by American Mathematical Soc.. This book was released on 1999 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, the authors demonstrate under some assumptions on $f^+$, $f^-$ that a solution to the classical Monge-Kantorovich problem of optimally rearranging the measure $\mu{^+}=f^+dx$ onto $\mu^-=f^-dy$ can be constructed by studying the $p$-Laplacian equation $- \mathrm{div}(\vert DU_p\vert^{p-2}Du_p)=f^+-f^-$ in the limit as $p\rightarrow\infty$. The idea is to show $u_p\rightarrow u$, where $u$ satisfies $\vert Du\vert\leq 1,-\mathrm{div}(aDu)=f^+-f^-$ for some density $a\geq0$, and then to build a flow by solving a nonautonomous ODE involving $a, Du, f^+$ and $f^-$.

Controllability, Stabilization, and the Regulator Problem for Random Differential Systems

Download Controllability, Stabilization, and the Regulator Problem for Random Differential Systems PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821808656
Total Pages : 63 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Controllability, Stabilization, and the Regulator Problem for Random Differential Systems by : Russell Johnson

Download or read book Controllability, Stabilization, and the Regulator Problem for Random Differential Systems written by Russell Johnson and published by American Mathematical Soc.. This book was released on 1998 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume develops a systematic study of time-dependent control processes. The basic problem of null controllability of linear systems is first considered. Using methods of ergodic theory and topological dynamics, general local null controllability criteria are given. Then the subtle question of global null controllability is studied. Next, the random linear feedback and stabilization problem is posed and solved. Using concepts of exponential dichotomy and rotation number for linear Hamiltonian systems, a solution of the Riccati equation is obtained which has extremely good robustness properties and which also preserves all the smoothness and recurrence properties of the coefficients. Finally, a general version of the local nonlinear feedback stabilization problem is solved.

Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization

Download Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9812770224
Total Pages : 307 pages
Book Rating : 4.8/5 (127 download)

DOWNLOAD NOW!


Book Synopsis Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization by : Weizhu Bao

Download or read book Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization written by Weizhu Bao and published by World Scientific. This book was released on 2007 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on Nanoscale Material Interfaces: Experiment, Theory and Simulation'' from November 2004 to January 2005. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field. This invaluable volume collects the expanded lecture notes of four of those self-contained tutorials. The topics covered include dynamics in different models of domain coarsening and coagulation and their mathematical analysis in material sciences; a mathematical and computational study for quantized vortices in the celebrated GinzburgOCoLandau models of superconductivity and the mean field GrossOCoPitaevskii equations of superfluidity; the nonlinear SchrAdinger equation and applications in BoseOCoEinstein condensation and plasma physics as well as their efficient and accurate computation; and finally, an introduction to constitutive modeling of macromolecular fluids within the framework of the kinetic theory. This volume serves to inspire graduate students and researchers who will embark upon original research work in these fields."

Operators of Class C_0 with Spectra in Multiply Connected Regions

Download Operators of Class C_0 with Spectra in Multiply Connected Regions PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821806262
Total Pages : 52 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Operators of Class C_0 with Spectra in Multiply Connected Regions by : Adele Zucchi

Download or read book Operators of Class C_0 with Spectra in Multiply Connected Regions written by Adele Zucchi and published by American Mathematical Soc.. This book was released on 1997 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let $\Omega$ be a bounded finitely connected region in the complex plane, whose boundary $\Gamma$ consists of disjoint, analytic, simple closed curves. The author considers linear bounded operators on a Hilbert space $H$ having $\overline \Omega$ as spectral set, and no normal summand with spectrum in $\gamma$. For each operator satisfying these properties, the author defines a weak$^*$-continuous functional calculus representation on the Banach algebra of bounded analytic functions on $\Omega$. An operator is said to be of class $C_0$ if the associated functional calculus has a non-trivial kernel. In this work, the author studies operators of class $C_0$, providing a complete classification into quasisimilarity classes, which is analogous to the case of the unit disk.

Structurally Stable Quadratic Vector Fields

Download Structurally Stable Quadratic Vector Fields PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 082180796X
Total Pages : 108 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Structurally Stable Quadratic Vector Fields by : Joan C. Artés

Download or read book Structurally Stable Quadratic Vector Fields written by Joan C. Artés and published by American Mathematical Soc.. This book was released on 1998 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book solves a problem that has been open for over 20 years--the complete classification of structurally stable quadratic vector fields modulo limit cycles. The 1950s saw the first real impetus given to the development of the qualitative theory of quadratic vector fields, although prior and ongoing interest in the topic can be shown by the more than 800 papers that have been published on the subject. One of the problems in the qualitative theory of quadratic vector fields is the classification of all structurally stable ones: In this work the authors solve this problem completely modulo limit cycles and give all possible phase portraits for such structurally stable quadratic vector fields.