Les représentations linéaires du groupe de Lorentz

Les représentations linéaires du groupe de Lorentz PDF Author: Mark Aronovich Naĭmark
Publisher:
ISBN:
Category : Group theory
Languages : en
Pages : 392

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Les représentations linéaires du groupe de Lorentz

Les représentations linéaires du groupe de Lorentz PDF Author: Mark Aronovich Naĭmark
Publisher:
ISBN:
Category : Group theory
Languages : en
Pages : 392

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Book Description


Clifford Algebras and Spinor Structures

Clifford Algebras and Spinor Structures PDF Author: Rafal Ablamowicz
Publisher: Springer Science & Business Media
ISBN: 9401584222
Category : Mathematics
Languages : en
Pages : 428

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Book Description
This volume is dedicated to the memory of Albert Crumeyrolle, who died on June 17, 1992. In organizing the volume we gave priority to: articles summarizing Crumeyrolle's own work in differential geometry, general relativity and spinors, articles which give the reader an idea of the depth and breadth of Crumeyrolle's research interests and influence in the field, articles of high scientific quality which would be of general interest. In each of the areas to which Crumeyrolle made significant contribution - Clifford and exterior algebras, Weyl and pure spinors, spin structures on manifolds, principle of triality, conformal geometry - there has been substantial progress. Our hope is that the volume conveys the originality of Crumeyrolle's own work, the continuing vitality of the field he influenced, and the enduring respect for, and tribute to, him and his accomplishments in the mathematical community. It isour pleasure to thank Peter Morgan, Artibano Micali, Joseph Grifone, Marie Crumeyrolle and Kluwer Academic Publishers for their help in preparingthis volume.

Acta Physica Polonica

Acta Physica Polonica PDF Author: Stefan Pieńkowski
Publisher:
ISBN:
Category : Physics
Languages : en
Pages : 882

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On Lie Algebras and Some Special Functions of Mathematical Physics

On Lie Algebras and Some Special Functions of Mathematical Physics PDF Author: Willard Miller
Publisher: American Mathematical Soc.
ISBN: 0821812505
Category : Lie algebras
Languages : en
Pages : 51

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Quantum Theory, Groups, Fields and Particles

Quantum Theory, Groups, Fields and Particles PDF Author: A. O. Barut
Publisher: Springer Science & Business Media
ISBN: 9781402003240
Category : Mathematics
Languages : en
Pages : 348

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Book Description
Symmetry and Dynamics have played, sometimes dualistic, sometimes complimentary, but always a very essential role in the physicist's description and conception of Nature. These are again the basic underlying themes of the present volume. It collects self-contained introductory contributions on some of the recent developments both in mathematical concepts and in physical applications which are becoming very important in current research. So we see in this volume, on the one hand, differential geometry, group representations, topology and algebras and on the other hand, particle equations, particle dynamics and particle interactions. Specifically, this book contains a complete exposition of the theory of deformations of symplectic algebras and quantization, expository material on topology and geometry in physics, and group representations. On the more physical side, we have studies on the concept of particles, on conformal spinors of Cartan, on gauge and supersymmetric field theories, and on relativistic theory of particle interactions and the theory of magnetic resonances. The contributions collected here were originally delivered at two Meetings in Turkey, at Blacksea University in Trabzon and at the University of Bosphorus in Istanbul. But they have been thoroughly revised, updated and extended for this volume. It is a pleasure for me to acknowledge the support of UNESCO, the support and hospitality of Blacksea and Bosphorus Universities for these two memorable Meetings in Mathematical Physics, and to thank the Contributors for their effort and care in preparing this work.

The Standard Model Of Quantum Physics In Clifford Algebra

The Standard Model Of Quantum Physics In Clifford Algebra PDF Author: Claude Daviau
Publisher: World Scientific
ISBN: 9814719889
Category : Science
Languages : en
Pages : 240

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Book Description
We extend to gravitation our previous study of a quantum wave for all particles and antiparticles of each generation (electron + neutrino + u and d quarks for instance). This wave equation is form invariant under Cl3*, then relativistic invariant. It is gauge invariant under the gauge group of the standard model, with a mass term: this was impossible before, and the consequence was an impossibility to link gauge interactions and gravitation.

Ordinary and Partial Differential Equations

Ordinary and Partial Differential Equations PDF Author: W. N. Everitt
Publisher: Springer
ISBN: 354038538X
Category : Mathematics
Languages : en
Pages : 403

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Field Theory, Quantization and Statistical Physics

Field Theory, Quantization and Statistical Physics PDF Author: E. Tirapegui
Publisher: Springer Science & Business Media
ISBN: 9400983689
Category : Science
Languages : en
Pages : 333

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Book Description
It is with great emotion that we present here this volume dedicated to the memory of Bernard Jouvet, Docteur es Sciences, Directeur des Recher ches at the Centre National pour la Recherche Scientifique. The life and the career as a physicist of Professor Jouvet are evoked in the following pages by Professor F. Cerulus, a friend of long standing of Professor Jouvet. The contributions have been written by physicists who were friends, collaborators or former students of Professor Jouvet. I express here my gratitude for their contributions. I wish also to thank Mrs. France Jouvet for her kind help in the realiza tion of this book. Without her support this would have been impossible. I am also especially indebted to Professor M. Flato for his constant encouragement and kind cooperation, and to F. Langouche and D. Roekaerts for their generous help in the preparation of this volume. E. TIRAPEGUI TABLE OF CONTENTS FOREWORD VII BIOGRAPHICAL SKETCH XI XIX LIST OF SELECTED SCIENTIFIC PUBLICA TIONS PART ONE: FIELD THEORY AND QUANTIZATION C. BECCHI, A. ROUET and R. sToRA/Renormalizable Theories with Symmetry Breaking 3 J. CALMET and A. VISCONTI/Computing Methods in Quantum Electrodynamics 33 GERARD CLEMENT/Classical Mechanics of Autocomposite Particles 59 s. DEsER/Exclusion of Static Solutions in Gravity-Matter Coupling 77 D. ARNAL, J.C. COR TET, M. FLATO and D. STERNHEIMER/ Star-Products: Quantization and Representations without Operators 85 R. GASTMANs/High Energy Tests of Quantum Electrodynamics 113 L. GOMBEROFF and E.K.

Applications of Group Theory in Physics and Mathematical Physics

Applications of Group Theory in Physics and Mathematical Physics PDF Author: MoshŽ Flato
Publisher: American Mathematical Soc.
ISBN: 9780821896860
Category : Science
Languages : en
Pages : 436

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Book Description
The past decade has seen a renewal in the close ties between mathematics and physics. The Chicago Summer Seminar on Applications of Group Theory in Physics and Mathematical Physics, held in July, 1982, was organized to bring together a broad spectrum of scientists from theoretical physics, mathematical physics, and various branches of pure and applied mathematics in order to promote interaction and an exchange of ideas and results in areas of common interest. This volume contains the papers submitted by speakers at the Seminar. The reader will find several groups of articles varying from the most abstract aspects of mathematics to a concrete phenomenological description of some models applicable to particle physics. The papers have been divided into four categories corresponding to the principal topics covered at the Seminar. This is only a rough division, and some papers overlap two or more of these categories.

Special Relativity in General Frames

Special Relativity in General Frames PDF Author: Éric Gourgoulhon
Publisher: Springer Science & Business Media
ISBN: 3642372767
Category : Science
Languages : en
Pages : 800

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Book Description
Special relativity is the basis of many fields in modern physics: particle physics, quantum field theory, high-energy astrophysics, etc. This theory is presented here by adopting a four-dimensional point of view from the start. An outstanding feature of the book is that it doesn’t restrict itself to inertial frames but considers accelerated and rotating observers. It is thus possible to treat physical effects such as the Thomas precession or the Sagnac effect in a simple yet precise manner. In the final chapters, more advanced topics like tensorial fields in spacetime, exterior calculus and relativistic hydrodynamics are addressed. In the last, brief chapter the author gives a preview of gravity and shows where it becomes incompatible with Minkowsky spacetime. Well illustrated and enriched by many historical notes, this book also presents many applications of special relativity, ranging from particle physics (accelerators, particle collisions, quark-gluon plasma) to astrophysics (relativistic jets, active galactic nuclei), and including practical applications (Sagnac gyrometers, synchrotron radiation, GPS). In addition, the book provides some mathematical developments, such as the detailed analysis of the Lorentz group and its Lie algebra. The book is suitable for students in the third year of a physics degree or on a masters course, as well as researchers and any reader interested in relativity. Thanks to the geometric approach adopted, this book should also be beneficial for the study of general relativity. “A modern presentation of special relativity must put forward its essential structures, before illustrating them using concrete applications to specific dynamical problems. Such is the challenge (so successfully met!) of the beautiful book by Éric Gourgoulhon.” (excerpt from the Foreword by Thibault Damour)