New Trends in Mathematical Physics

New Trends in Mathematical Physics

Author: Vladas Sidoravicius

Publisher: Springer Science & Business Media

Published: 2009-08-31

Total Pages: 886

ISBN-13: 9048128102

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This book collects selected papers written by invited and plenary speakers of the 15th International Congress on Mathematical Physics (ICMP) in the aftermath of the conference. In extensive review articles and expository texts as well as advanced research articles the world leading experts present the state of the art in modern mathematical physics. New mathematical concepts and ideas are introduced by prominent mathematicalphysicists and mathematicians, covering among others the fields of Dynamical Systems, Operator Algebras, Partial Differential Equations, Probability Theory, Random Matrices, Condensed Matter Physics, Statistical Mechanics, General Relativity, Quantum Mechanics, Quantum Field Theory, Quantum Information and String Theory. All together the contributions in this book give a panoramic view of the latest developments in mathematical physics. They will help readers with a general interest in mathematical physics to get an update on the most recent developments in their field, and give a broad overview on actual and future research directions in this fascinating and rapidly expanding area.


Recent Developments in Mathematical Physics

Recent Developments in Mathematical Physics

Author: Heinrich Mitter

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 333

ISBN-13: 364273104X

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This volume contains the written versions of invited lectures and abstracts of seminars presented at the 26th "Universitatswochen fiir Kernphysik" (Uni versity nuclear physics weeks) in Schladming, Austria, in February 1987. Again the generous support of our sponsors, the Austrian Ministry of Sci ence and Research, the Styrian government and others, made it possible to invite expert lecturers. The meeting was organized in honour of Prof. Dr. th Walter Thirring in connection with his 60 birthday. In choosing the topics for the lectures we have tried to cover a good many of the areas in which mathematical physics has made significant progress in recent years. Both classical and quantum mechanical problems are considered as well as prob lems in statistical physics and quantum field theory. The common feature lies in the methods of mathematical physics that are used to understand the underlying structure and to proceed towards a rigorous solution. Thanks to the efforts of the speakers this spirit was maintained in all lectures. Due to space limitations only shortened versions of the many seminars presented in Schladming could be included. After the school the lecture notes were revised by the authors, whom we thank for their efforts, which made it possible to speed up publication. Thanks are also due to Mrs. Neuhold for the careful typing of the notes, and to Miss Koubek and Mr. Preitler for their help in proofreading.


New Developments in Mathematical Physics

New Developments in Mathematical Physics

Author: H. Mitter

Publisher: Springer Science & Business Media

Published: 2013-03-08

Total Pages: 700

ISBN-13: 3709186420

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The papers contained in this volume are lectures and seminars presented at the 20th "Universitatswochen fUr Kernphysik" in Schladming in February 1981. The goal of this school was to review some rapidly developing branches in mathematical physics. Thanks to the generous support provided by the Austrian Federal Ministry of Science and Research, the Styrian Government and other sponsors, it has been possible to keep up with the - by now already traditional - standards of this school. The lecture notes have been reexamined by the authors after the school and are now published in their final form, so that a larger number of physicists may profit from them. Because of necessary limitations in space all de tails connected with the meeting have been omitted and only brief outlines of the seminars were incl~ded. It is a pleasure to thank all the lecturers for their efforts, which made it possible to speed up the publi cation. Thanks are also due to Mrs. Krenn for the careful typing of the notes. H. Mitter L. Pittner Acta Physica Austriaca, Supp\. XXIII, 3-28 (1981) © by Springer-Verlag 1981 CLASSICAL SCATTERING THEORY+ by W. THIRRING Institut fur Theoretische Physik Universitat Wien, Austria 1. INTRODUCTION It was first recognized by Hunziker [1] that the notions of scattering theory play an important role in classical mechanics. It turned out [2] that it leads to non-trivial information for the global properties of the solutions of the classical trajectories.


Representation Theory, Mathematical Physics, and Integrable Systems

Representation Theory, Mathematical Physics, and Integrable Systems

Author: Anton Alekseev

Publisher: Birkhäuser

Published: 2022-02-05

Total Pages: 643

ISBN-13: 9783030781477

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Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology. The chapters in this volume – compiled on the occasion of his 60th birthday – are written by distinguished mathematicians and physicists and pay tribute to his many significant and lasting achievements. Covering the latest developments at the interface of noncommutative algebra, differential and algebraic geometry, and perspectives arising from physics, this volume explores topics such as the development of new and powerful knot invariants, new perspectives on enumerative geometry and string theory, and the introduction of cluster algebra and categorification techniques into a broad range of areas. Chapters will also cover novel applications of representation theory to random matrix theory, exactly solvable models in statistical mechanics, and integrable hierarchies. The recent progress in the mathematical and physicals aspects of deformation quantization and tensor categories is also addressed. Representation Theory, Mathematical Physics, and Integrable Systems will be of interest to a wide audience of mathematicians interested in these areas and the connections between them, ranging from graduate students to junior, mid-career, and senior researchers.


New Developments in the Theory of Knots

New Developments in the Theory of Knots

Author: Toshitake Kohno

Publisher: World Scientific

Published: 1990

Total Pages: 924

ISBN-13: 9789810201623

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This reprint volume focuses on recent developments in knot theory arising from mathematical physics, especially solvable lattice models, Yang-Baxter equation, quantum group and two dimensional conformal field theory. This volume is helpful to topologists and mathematical physicists because existing articles are scattered in journals of many different domains including Mathematics and Physics. This volume will give an excellent perspective on these new developments in Topology inspired by mathematical physics.


Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics

Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics

Author: CLAUDIO BARTOCCI

Publisher: Springer Science & Business Media

Published: 2009-06-12

Total Pages: 435

ISBN-13: 0817646639

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Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries. In the last three decades the development of a number of novel ideas in algebraic geometry, category theory, gauge theory, and string theory has been closely related to generalizations of integral transforms of a more geometric character. "Fourier–Mukai and Nahm Transforms in Geometry and Mathematical Physics" examines the algebro-geometric approach (Fourier–Mukai functors) as well as the differential-geometric constructions (Nahm). Also included is a considerable amount of material from existing literature which has not been systematically organized into a monograph. Key features: Basic constructions and definitions are presented in preliminary background chapters - Presentation explores applications and suggests several open questions - Extensive bibliography and index. This self-contained monograph provides an introduction to current research in geometry and mathematical physics and is intended for graduate students and researchers just entering this field.


Mathematical Physics in Theoretical Chemistry

Mathematical Physics in Theoretical Chemistry

Author: S.M. Blinder

Publisher: Elsevier

Published: 2018-11-26

Total Pages: 426

ISBN-13: 0128137010

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Mathematical Physics in Theoretical Chemistry deals with important topics in theoretical and computational chemistry. Topics covered include density functional theory, computational methods in biological chemistry, and Hartree-Fock methods. As the second volume in the Developments in Physical & Theoretical Chemistry series, this volume further highlights the major advances and developments in research, also serving as a basis for advanced study. With a multidisciplinary and encompassing structure guided by a highly experienced editor, the series is designed to enable researchers in both academia and industry stay abreast of developments in physical and theoretical chemistry. - Brings together the most important aspects and recent advances in theoretical and computational chemistry - Covers computational methods for small molecules, density-functional methods, and computational chemistry on personal and quantum computers - Presents cutting-edge developments in theoretical and computational chemistry that are applicable to graduate students and research professionals in chemistry, physics, materials science and biochemistry


Recent Developments in Mathematical, Statistical and Computational Sciences

Recent Developments in Mathematical, Statistical and Computational Sciences

Author: D. Marc Kilgour

Publisher: Springer

Published: 2022-08-31

Total Pages: 0

ISBN-13: 9783030635930

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This book constitutes an up-to-date account of principles, methods, and tools for mathematical and statistical modelling in a wide range of research fields, including medicine, health sciences, biology, environmental science, engineering, physics, chemistry, computation, finance, economics, and social sciences. It presents original solutions to real-world problems, emphasizes the coordinated development of theories and applications, and promotes interdisciplinary collaboration among mathematicians, statisticians, and researchers in other disciplines. Based on a highly successful meeting, the International Conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2019, held from August 18 to 23, 2019, on the main campus of Wilfrid Laurier University, Waterloo, Canada, the contributions are the results of submissions from the conference participants. They provide readers with a broader view of the methods, ideas and tools used in mathematical, statistical and computational sciences.


Recent Developments In Gravitation And Mathematical Physics - Proceedings Of The First Mexican School On Gravitation And Mathematical Physics

Recent Developments In Gravitation And Mathematical Physics - Proceedings Of The First Mexican School On Gravitation And Mathematical Physics

Author: Alfredo Macias

Publisher: World Scientific

Published: 1996-05-25

Total Pages: 410

ISBN-13: 9814547573

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These proceedings contain lecture notes on computer algebra, cosmological models, quantum cosmology, and black hole physics. Several research articles which cover different aspects of classical cosmology, exact solutions to Einstein's equations, and quantum field theory are also included.