Poincare Seminar 2002

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Poincaré Seminar 2002

Author : Vincent Rivasseau
Publisher : Springer Science & Business Media
ISBN 13 : 9783764305277
Total Pages : 344 pages
Book Rating : 4.3/5 (52 download)

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Book Synopsis Poincaré Seminar 2002 by : Vincent Rivasseau

Download or read book Poincaré Seminar 2002 written by Vincent Rivasseau and published by Springer Science & Business Media. This book was released on 2003-04-24 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Poincaré Seminar is held twice a year at the Institut Henri Poincaré in Paris. This volume contains the lectures of the 2002 seminars. The main topic of the first one was the vacuum energy, in particular the Casimir effect and the nature of the cosmological constant. The second one concentrated on renormalization, giving a comprehensive account of its mathematical structure and applications to high energy physics, statistical mechanics and classical mechanics. Students will find excellent introductions to the subjects with further lectures leading to the frontiers of experimental and theoretical research, scientists will profit from contributions by outstanding experts.

Poincare Seminar 2003

Author : Jean Dalibard
Publisher : Springer Science & Business Media
ISBN 13 : 9783764371067
Total Pages : 280 pages
Book Rating : 4.3/5 (71 download)

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Book Synopsis Poincare Seminar 2003 by : Jean Dalibard

Download or read book Poincare Seminar 2003 written by Jean Dalibard and published by Springer Science & Business Media. This book was released on 2004-05-25 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Poincarè Seminar is held twice a year at the Institute Henri Poincarè in Paris. The goal of this seminar is to provide up-to-date information about general topics of great interest in physics. Both the theoretical and experimental results are covered, with some historical background. Particular care is devoted to the pedagogical nature of the presentation. This volume contains the lectures of the third and fourth Poincarè Seminar, both held in 2003. The third one is devoted to Bose-Einstein Condensation: it covers the physics of superfluid liquid helium as well as the recently discovered atomic Bose-Einstein condensates. Major experimental results are presented, together with relevant theoretical approaches and remaining open questions. The fourth one concentrates on Entropy, giving a comprehensive account of the history and various realizations of this concept, from thermodynamics to black holes, and including theoretical and experimental discussions of the corresponding fluctuations for mesoscopic systems near equilibrium. Contributing authors: Roger Balian Sèbasten Balibar Claude Cohen-Tannoudji Jean Dalibard Thibault Damour Olivier Darrigol Christian Maes Philippe Noziéres Fèlix Ritort Christophe Salomon Gora V. Shlyapnikov

Lasers, Clocks and Drag-Free Control

Author : Hansjörg Dittus
Publisher : Springer Science & Business Media
ISBN 13 : 3540343776
Total Pages : 646 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Lasers, Clocks and Drag-Free Control by : Hansjörg Dittus

Download or read book Lasers, Clocks and Drag-Free Control written by Hansjörg Dittus and published by Springer Science & Business Media. This book was released on 2009-09-02 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by international experts, this book explores the possibilities for the next 20 years in conducting gravitational experiments in space that would make the most of the new and much-improved existing capabilities. They start from the premise that over the next decade the gravitational physics community will benefit from dramatic improvements in many technologies critical to the tests of gravity. This volume contains a comprehensive presentation of the theory, technology, missions and projects on relativistic gravity in space.

Advances in Atomic, Molecular, and Optical Physics

Author :
Publisher : Elsevier
ISBN 13 : 0080545025
Total Pages : 321 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Advances in Atomic, Molecular, and Optical Physics by :

Download or read book Advances in Atomic, Molecular, and Optical Physics written by and published by Elsevier. This book was released on 2005-05-10 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series, established in 1965, is concerned with recent developments in the general area of atomic, molecular and optical physics. The field is in a state of rapid growth, as new experimental and theoretical techniques are used on many old and new problems. Topics covered include related applied areas, such as atmospheric science, astrophysics, surface physics and laser physics. Articles are written by distinguished experts who are active in their research fields. The articles contain both relevant review material and detailed descriptions of important recent developments.· Reviews timely fields of atomic physics· Articles written by world leaders in those fields· In depth review of the subject with relevant literature· Suitable for researchers in other fields· Only book series of this kind

Frontiers in Number Theory, Physics, and Geometry II

Author : Pierre E. Cartier
Publisher : Springer Science & Business Media
ISBN 13 : 3540303081
Total Pages : 806 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Frontiers in Number Theory, Physics, and Geometry II by : Pierre E. Cartier

Download or read book Frontiers in Number Theory, Physics, and Geometry II written by Pierre E. Cartier and published by Springer Science & Business Media. This book was released on 2007-07-18 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of number theory, geometry, and physics. This book is the first of two volumes resulting from that meeting. Broken into three parts, it covers Conformal Field Theories, Discrete Groups, and Renormalization, offering extended versions of the lecture courses and shorter texts on special topics.

Quantum Field Theory II: Quantum Electrodynamics

Author : Eberhard Zeidler
Publisher : Springer Science & Business Media
ISBN 13 : 3540853774
Total Pages : 1125 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Quantum Field Theory II: Quantum Electrodynamics by : Eberhard Zeidler

Download or read book Quantum Field Theory II: Quantum Electrodynamics written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 2008-09-03 with total page 1125 pages. Available in PDF, EPUB and Kindle. Book excerpt: And God said, Let there be light; and there was light. Genesis 1,3 Light is not only the basis of our biological existence, but also an essential source of our knowledge about the physical laws of nature, ranging from the seventeenth century geometrical optics up to the twentieth century theory of general relativity and quantum electrodynamics. Folklore Don’t give us numbers: give us insight! A contemporary natural scientist to a mathematician The present book is the second volume of a comprehensive introduction to themathematicalandphysicalaspectsofmodernquantum?eldtheorywhich comprehends the following six volumes: Volume I: Basics in Mathematics and Physics Volume II: Quantum Electrodynamics Volume III: Gauge Theory Volume IV: Quantum Mathematics Volume V: The Physics of the Standard Model Volume VI: Quantum Gravitation and String Theory. It is our goal to build a bridge between mathematicians and physicists based on the challenging question about the fundamental forces in • macrocosmos (the universe) and • microcosmos (the world of elementary particles). The six volumes address a broad audience of readers, including both und- graduate and graduate students, as well as experienced scientists who want to become familiar with quantum ?eld theory, which is a fascinating topic in modern mathematics and physics.

Quantum Field Theory I: Basics in Mathematics and Physics

Author : Eberhard Zeidler
Publisher : Springer Science & Business Media
ISBN 13 : 354034764X
Total Pages : 1060 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Quantum Field Theory I: Basics in Mathematics and Physics by : Eberhard Zeidler

Download or read book Quantum Field Theory I: Basics in Mathematics and Physics written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 2007-04-18 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.

Quantum Spaces

Author : Vincent Rivasseau
Publisher : Springer Science & Business Media
ISBN 13 : 3764385227
Total Pages : 228 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Quantum Spaces by : Vincent Rivasseau

Download or read book Quantum Spaces written by Vincent Rivasseau and published by Springer Science & Business Media. This book was released on 2007-12-22 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book confirms noncommutative geometry as an increasingly useful tool for the description of intricate condensed matter phenomena. It describes the striking progress recently made in gathering all the interactions and fields of the standard model into a non-commutative geometry on a simple internal space. Coverage also details the very recent technique of renormalization of quantum field theories on non-commutative space-time.

The Quantum Vacuum

Author : Luciano Boi
Publisher : JHU Press
ISBN 13 : 1421402475
Total Pages : 233 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis The Quantum Vacuum by : Luciano Boi

Download or read book The Quantum Vacuum written by Luciano Boi and published by JHU Press. This book was released on 2011-10-28 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: A vacuum, classically understood, contains nothing. The quantum vacuum, on the other hand, is a seething cauldron of nothingness: particle pairs going in and out of existence continuously and rapidly while exerting influence over an enormous range of scales. Acclaimed mathematical physicist and natural philosopher Luciano Boi expounds the quantum vacuum, exploring the meaning of nothingness and its relationship with physical reality. Boi first provides a deep analysis of the interaction between geometry and physics at the quantum level. He next describes the relationship between the microscopic and macroscopic structures of the world. In so doing, Boi sheds light on the very nature of the universe, stressing in an original and profound way the relationship between quantum geometry and the internal symmetries underlying the behavior of matter and the interactions of forces. Beyond the physics and mathematics of the quantum vacuum, Boi offers a profoundly philosophical interpretation of the concept. Plato and Aristotle did not believe a vacuum was possible. How could nothing be something, they asked? Boi traces the evolution of the quantum vacuum from an abstract concept in ancient Greece to its fundamental role in quantum field theory and string theory in modern times. The quantum vacuum is a complex entity, one essential to understanding some of the most intriguing issues in twentieth-century physics, including cosmic singularity, dark matter and energy, and the existence of the Higgs boson particle. Boi explains with simple clarity the relevant theories and fundamental concepts of the quantum vacuum. Theoretical, mathematical, and particle physicists, as well as researchers and students of the history and philosophy of physics, will find The Quantum Vacuum to be a stimulating and engaging primer on the topic.

Tensorial Methods and Renormalization in Group Field Theories

Author : Sylvain Carrozza
Publisher : Springer Science & Business Media
ISBN 13 : 3319058673
Total Pages : 236 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Tensorial Methods and Renormalization in Group Field Theories by : Sylvain Carrozza

Download or read book Tensorial Methods and Renormalization in Group Field Theories written by Sylvain Carrozza and published by Springer Science & Business Media. This book was released on 2014-04-12 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main focus of this thesis is the mathematical structure of Group Field Theories (GFTs) from the point of view of renormalization theory. Such quantum field theories are found in approaches to quantum gravity related, on the one hand, to Loop Quantum Gravity (LQG) and on the other, to matrix- and tensor models. Background material on these topics, including conceptual and technical aspects, are introduced in the first chapters. The work then goes on to explain how the standard tools of Quantum Field Theory can be generalized to GFTs and exploited to study the large cut-off behaviour and renormalization group transformations of the latter. Among the new results derived in this context are a proof of renormalizability of a three-dimensional GFT with gauge group SU(2), which opens the way to applications of the formalism to quantum gravity.

Renormalization and Galois Theories

Author : Frédéric Fauvet
Publisher : European Mathematical Society
ISBN 13 : 9783037190739
Total Pages : 284 pages
Book Rating : 4.1/5 (97 download)

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Book Synopsis Renormalization and Galois Theories by : Frédéric Fauvet

Download or read book Renormalization and Galois Theories written by Frédéric Fauvet and published by European Mathematical Society. This book was released on 2009 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the outcome of a CIRM Workshop on Renormalization and Galois Theories held in Luminy, France, in March 2006. The subject of this workshop was the interaction and relationship between four currently very active areas: renormalization in quantum field theory (QFT), differential Galois theory, noncommutative geometry, motives and Galois theory. The last decade has seen a burst of new techniques to cope with the various mathematical questions involved in QFT, with notably the development of a Hopf-algebraic approach and insights into the classes of numbers and special functions that systematically appear in the calculations of perturbative QFT (pQFT). The analysis of the ambiguities of resummation of the divergent series of pQFT, an old problem, has been renewed, using recent results on Gevrey asymptotics, generalized Borel summation, Stokes phenomenon and resurgent functions. The purpose of the present book is to highlight, in the context of renormalization, the convergence of these various themes, orchestrated by diverse Galois theories. It contains three lecture courses together with five research articles and will be useful to both researchers and graduate students in mathematics and physics.

Lumen Naturae

Author : Matilde Marcolli
Publisher : MIT Press
ISBN 13 : 0262043904
Total Pages : 390 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Lumen Naturae by : Matilde Marcolli

Download or read book Lumen Naturae written by Matilde Marcolli and published by MIT Press. This book was released on 2020-05-26 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring common themes in modern art, mathematics, and science, including the concept of space, the notion of randomness, and the shape of the cosmos. This is a book about art—and a book about mathematics and physics. In Lumen Naturae (the title refers to a purely immanent, non-supernatural form of enlightenment), mathematical physicist Matilde Marcolli explores common themes in modern art and modern science—the concept of space, the notion of randomness, the shape of the cosmos, and other puzzles of the universe—while mapping convergences with the work of such artists as Paul Cezanne, Mark Rothko, Sol LeWitt, and Lee Krasner. Her account, focusing on questions she has investigated in her own scientific work, is illustrated by more than two hundred color images of artworks by modern and contemporary artists. Thus Marcolli finds in still life paintings broad and deep philosophical reflections on space and time, and connects notions of space in mathematics to works by Paul Klee, Salvador Dalí, and others. She considers the relation of entropy and art and how notions of entropy have been expressed by such artists as Hans Arp and Fernand Léger; and traces the evolution of randomness as a mode of artistic expression. She analyzes the relation between graphical illustration and scientific text, and offers her own watercolor-decorated mathematical notebooks. Throughout, she balances discussions of science with explorations of art, using one to inform the other. (She employs some formal notation, which can easily be skipped by general readers.) Marcolli is not simply explaining art to scientists and science to artists; she charts unexpected interdependencies that illuminate the universe.

CPT Invariance and the Spin-statistics Connection

Author : Jonathan Bain
Publisher : Oxford University Press
ISBN 13 : 0198728808
Total Pages : 203 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis CPT Invariance and the Spin-statistics Connection by : Jonathan Bain

Download or read book CPT Invariance and the Spin-statistics Connection written by Jonathan Bain and published by Oxford University Press. This book was released on 2016 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on the philosophy of quantum field theory dealing with the question "What explains CPT invariance and the spin-statistics connection?" These properties play foundational roles in relativistic quantum field theories and figure into explanations of a wide range of phenomena, from antimatter, to the periodic table, to superfluids.

Clifford Algebras

Author : Rafal Ablamowicz
Publisher : Springer Science & Business Media
ISBN 13 : 1461220440
Total Pages : 635 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Clifford Algebras by : Rafal Ablamowicz

Download or read book Clifford Algebras written by Rafal Ablamowicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: The invited papers in this volume provide a detailed examination of Clifford algebras and their significance to analysis, geometry, mathematical structures, physics, and applications in engineering. While the papers collected in this volume require that the reader possess a solid knowledge of appropriate background material, they lead to the most current research topics. With its wide range of topics, well-established contributors, and excellent references and index, this book will appeal to graduate students and researchers.

The Unity of Mathematics

Author : Pavel Etingof
Publisher : Springer Science & Business Media
ISBN 13 : 0817644679
Total Pages : 646 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis The Unity of Mathematics by : Pavel Etingof

Download or read book The Unity of Mathematics written by Pavel Etingof and published by Springer Science & Business Media. This book was released on 2007-05-31 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tribute to the vision and legacy of Israel Moiseevich Gel'fand Written by leading mathematicians, these invited papers reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory Topics include conformal field theory, K-theory, noncommutative geometry, gauge theory, representations of infinite-dimensional Lie algebras, and various aspects of the Langlands program

Geometric Phases in Classical and Quantum Mechanics

Author : Dariusz Chruscinski
Publisher : Springer Science & Business Media
ISBN 13 : 0817681760
Total Pages : 346 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Geometric Phases in Classical and Quantum Mechanics by : Dariusz Chruscinski

Download or read book Geometric Phases in Classical and Quantum Mechanics written by Dariusz Chruscinski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

3-D Spinors, Spin-Weighted Functions and their Applications

Author : Gerardo F. Torres del Castillo
Publisher : Springer Science & Business Media
ISBN 13 : 0817681469
Total Pages : 256 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis 3-D Spinors, Spin-Weighted Functions and their Applications by : Gerardo F. Torres del Castillo

Download or read book 3-D Spinors, Spin-Weighted Functions and their Applications written by Gerardo F. Torres del Castillo and published by Springer Science & Business Media. This book was released on 2012-09-07 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on the theory of three-dimensional spinors and their applications fills an important gap in the literature. It gives an introductory treatment of spinors. From the reviews: "Gathers much of what can be done with 3-D spinors in an easy-to-read, self-contained form designed for applications that will supplement many available spinor treatments. The book...should be appealing to graduate students and researchers in relativity and mathematical physics." -—MATHEMATICAL REVIEWS