• Mathematics

Geometric Methods in Physics

XXXIV Workshop, Białowieża, Poland, June 28 – July 4, 2015
Author: Piotr Kielanowski,S. Twareque Ali,Pierre Bieliavsky,Anatol Odzijewicz,Martin Schlichenmaier,Theodore Voronov
Publisher: Birkhäuser
ISBN: 3319317563
Category: Mathematics
Page: 396
View: 1307
This book features a selection of articles based on the XXXIV Białowieża Workshop on Geometric Methods in Physics, 2015. The articles presented are mathematically rigorous, include important physical implications and address the application of geometry in classical and quantum physics. Special attention deserves the session devoted to discussions of Gerard Emch's most important and lasting achievements in mathematical physics. The Białowieża workshops are among the most important meetings in the field and gather participants from mathematics and physics alike. Despite their long tradition, the Workshops remain at the cutting edge of ongoing research. For the past several years, the Białowieża Workshop has been followed by a School on Geometry and Physics, where advanced lectures for graduate students and young researchers are presented. The unique atmosphere of the Workshop and School is enhanced by the venue, framed by the natural beauty of the Białowieża forest in eastern Poland.

    • Mathematics

Geometric Methods in Physics XXXV

Workshop and Summer School, Białowieża, Poland, June 26 – July 2, 2016
Author: Piotr Kielanowski,Anatol Odzijewicz,Emma Previato
Publisher: Birkhäuser
ISBN: 3319635948
Category: Mathematics
Page: 282
View: 5200
This book features a selection of articles based on the XXXV Białowieża Workshop on Geometric Methods in Physics, 2016. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, and with applications to classical and quantum physics. In 2016 the special session "Integrability and Geometry" in particular attracted pioneers and leading specialists in the field. Traditionally, the Białowieża Workshop is followed by a School on Geometry and Physics, for advanced graduate students and early-career researchers, and the book also includes extended abstracts of the lecture series.

    • Science

Geometrical Methods of Mathematical Physics


Author: Bernard F. Schutz
Publisher: Cambridge University Press
ISBN: 1107268141
Category: Science
Page: N.A
View: 4295
In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.

    • Mathematics

Geometrical Methods of Mathematical Physics


Author: Bernard F. Schutz
Publisher: Cambridge University Press
ISBN: 9780521298872
Category: Mathematics
Page: 250
View: 4581
For physicists and applied mathematicians working in the fields of relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This book provides an introduction to the concepts and techniques of modern differential theory, particularly Lie groups, Lie forms and differential forms.

    • Mathematics

Differential Geometric Methods in Theoretical Physics

Physics and Geometry
Author: Ling-Lie Chau,Werner Nahm
Publisher: Springer Science & Business Media
ISBN: 1468491482
Category: Mathematics
Page: 830
View: 5721
After several decades of reduced contact, the interaction between physicists and mathematicians in the front-line research of both fields recently became deep and fruit ful again. Many of the leading specialists of both fields became involved in this devel opment. This process even led to the discovery of previously unsuspected connections between various subfields of physics and mathematics. In mathematics this concerns in particular knots von Neumann algebras, Kac-Moody algebras, integrable non-linear partial differential equations, and differential geometry in low dimensions, most im portantly in three and four dimensional spaces. In physics it concerns gravity, string theory, integrable classical and quantum field theories, solitons and the statistical me chanics of surfaces. New discoveries in these fields are made at a rapid pace. This conference brought together active researchers in these areas, reporting their results and discussing with other participants to further develop thoughts in future new directions. The conference was attended by SO participants from 15 nations. These proceedings document the program and the talks at the conference. This conference was preceded by a two-week summer school. Ten lecturers gave extended lectures on related topics. The proceedings of the school will also be published in the NATO-AS[ volume by Plenum. The Editors vii ACKNOWLEDGMENTS We would like to thank the many people who have made the conference a success. Furthermore, ·we appreciate the excellent talks. The active participation of everyone present made the conference lively and stimulating. All of this made our efforts worth while.

    • Science

Algebraic and Geometric Methods in Mathematical Physics

Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993
Author: Anne Boutet de Monvel,Vladimir Marchenko
Publisher: Springer Science & Business Media
ISBN: 940170693X
Category: Science
Page: 478
View: 2707
Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993

    • Mathematics

Differential Geometric Methods in Mathematical Physics


Author: S. Sternberg
Publisher: Springer Science & Business Media
ISBN: 9781402003417
Category: Mathematics
Page: 296
View: 5779
The following pages represent the Proceedings of the XI Annual Conference on Differential Geometric Methods in Mathematical Physics which was held in Jerusalem from August 5 through 11, 1982 under the auspices of the Tel Aviv University and the Israel Academy of Sciences and Humanities. In addition to the above mentioned institutions, partial financial support was received form the Bank Leumi Lelsrael Fund for International Conferences, the American Friends of the Tel Aviv Institute of Mathematical Sciences and the Mathematics and Physics Branch of the United States Army Research, Development and Standardization Group (UK). We are grateful to all of these organizations for their financial support. GAUGE THEORY AND NUCLEAR STRUCTURE K. Bleuler Institut fur Theoretische Kernphysik der Universitat Bonn NuBallee 14-16, D-5300 Bonn, West-Germany I. INTRODUCTION The recent, most impressive verification of the Salam­ -Weinberg theory of electro-weak interactions through the experimental discovery of the so-called inter­ mediate bosons represents, at the same time, a success of the general gauge theoretical viewpoints in modern particle physics (quantum chromodynamics, 0CD). This theory leads to a deeper and by far more natural inter­ pretation of particle interaction and induces, as we shall see, also a profound change in our understanding of nuclear structure.

    • Mathematics

Differential Geometric Methods in Mathematical Physics

Proceedings of the 14th International Conference held in Salamanca, Spain, June 24 - 29, 1985
Author: Pedro L. Garcia,Antonio Perez-Rendon
Publisher: Springer
ISBN: 354047854X
Category: Mathematics
Page: 304
View: 1876
The focal topic of the 14th International Conference on Differential Geometric Methods was that of mathematical problems in classical field theory and the emphasis of the resulting proceedings volume is on superfield theory and related topics, and classical and quantized fields.


    • Science

Lectures on Geometric Methods in Mathematical Physics


Author: Jerrold E. Marsden
Publisher: SIAM
ISBN: 0898711703
Category: Science
Page: 97
View: 9689
A monograph on some of the ways geometry and analysis can be used in mathematical problems of physical interest. The roles of symmetry, bifurcation and Hamiltonian systems in diverse applications are explored.

    • Mathematics

Differential Geometric Methods in Mathematical Physics

Proceedings of an International Conference Held at the Technical University of Clausthal, FRG, August 30 - September 2, 1983
Author: Heinz-Dietrich Doebner,Jörg-Dieter Hennig
Publisher: Springer
ISBN: 3540395857
Category: Mathematics
Page: 344
View: 789


    • Mathematics

Differential Geometrical Methods in Mathematical Physics

Proceedings of the Conference Held at Aix-en-Provence, September 3-7, 1979 and Salamanca, September 10-14, 1979
Author: P. L. Garcia,A. Perez-Rendon,J. M. Souriau
Publisher: Springer
ISBN: 3540384057
Category: Mathematics
Page: 542
View: 8057

    • Science

Geometric Methods in Mathematical Physics

Proceedings of an NSF-CBMS Conference Held at the University of Lowell, Massachusetts, March 19-23, 1979
Author: G. Kaiser,J.E. Marsden
Publisher: Springer
ISBN: 9783540097426
Category: Science
Page: 262
View: 7109

    • Geometry, Differential

Differential Geometric Methods in Theoretical Physics

Chester, England, 15-19 August 1988
Author: Allan I. Solomon
Publisher: World Scientific Publishing Company Incorporated
ISBN: N.A
Category: Geometry, Differential
Page: 367
View: 1237

    • Science

Geometric and Topological Methods for Quantum Field Theory


Author: Hernan Ocampo,Eddy Pariguan,Sylvie Paycha
Publisher: Cambridge University Press
ISBN: 113948673X
Category: Science
Page: N.A
View: 5637
Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an account of important results in geometric topology. It investigates the differential equation aspects of quantum cohomology, before moving on to noncommutative geometry. This is followed by a further exploration of quantum field theory and gauge theory, describing AdS/CFT correspondence, and the functional renormalization group approach to quantum gravity. The second part covers a wide spectrum of topics on the borderline of mathematics and physics, ranging from orbifolds to quantum indistinguishability and involving a manifold of mathematical tools borrowed from geometry, algebra and analysis. Each chapter presents introductory material before moving on to more advanced results. The chapters are self-contained and can be read independently of the rest.

    • Science

Differential Geometrical Methods in Mathematical Physics

Proceedings of the Symposium Held at the University at the University of Bonn, July 1 - 4, 1975
Author: K. Bleuler,A. Reetz
Publisher: Springer
ISBN: 3540374981
Category: Science
Page: 582
View: 8317

    • Mathematics

Geometric Phases in Classical and Quantum Mechanics


Author: Dariusz Chruscinski,Andrzej Jamiolkowski
Publisher: Springer Science & Business Media
ISBN: 0817681760
Category: Mathematics
Page: 337
View: 4468
Several well-established geometric and topological methods are used in this work in an application to a beautiful physical phenomenon known as the geometric phase. This book examines the geometric phase, bringing together different physical phenomena under a unified mathematical scheme. The material is presented so that graduate students and researchers in applied mathematics and physics with an understanding of classical and quantum mechanics can handle the text.


    • Mathematics

26th Workshop on Geometrical Methods in Physics


Author: Piotr Kielanowski,Anatol Odzijewicz,Uniwersytet w Białymstoku
Publisher: Amer Inst of Physics
ISBN: 9780735404700
Category: Mathematics
Page: 252
View: 2188
All papers have been peer-reviewed. This conference was devoted to a wide range of mathematical problems related to the description of quantum physical systems as well as to classical ones. From the point of view of physics, the main attention was paid to such topics as integrability and quantization of classical systems. Mathematical aspects of these topics occupy the following branches: Poisson and symplectic geometry, Lie algebras, C*- algebras, Spectral theory, Quantum groups, Non-commutative geometry and some others.