Geometry, Topology and Quantization, P. Bandyopadhyay

Автор: Nakahara, M. (department Of Mathematics And Physic
Название: Geometry, topology and physics
ISBN: 0750306068 ISBN-13(EAN): 9780750306065
Издательство: Taylor&Francis
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Описание: Offers an introduction to the ideas and techniques of differential geometry and topology. This work starts with a brief survey of quantum field theory, gauge theory, general relativity, vector spaces, and topology. It also demonstrates elaborate concepts of topology and geometry, including fiber bundles, characteristic classes, and index theorems.

Автор: Stuart G. Whittington; Witt De Sumners; Timothy Lo
Название: Topology and Geometry in Polymer Science
ISBN: 0387985808 ISBN-13(EAN): 9780387985800
Издательство: Springer
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Описание: Contains contributions from a workshop on topology and geometry of polymers, held at the IMA in June 1996. This book is useful for workers in polymer statistical mechanics. It is also useful as an introduction to topological methods for polymer scientists.

Автор: P. Bandyopadhyay
Название: Geometry, Topology and Quantization
ISBN: 940106282X ISBN-13(EAN): 9789401062824
Издательство: Springer
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Описание: This is a monograph on geometrical and topological features which arise in various quantization procedures. When this internal space variable is considered as a direc- tion vector introducing an anisotropy in the internal space, we have the quantization of a Fermi field.

Автор: Maurice A. de Gosson
Название: Born-Jordan Quantization
ISBN: 3319279009 ISBN-13(EAN): 9783319279008
Издательство: Springer
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Описание: This book presents a comprehensive mathematical study of the operators behind the Born-Jordan quantization scheme. Thus, Born-Jordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization commonly used by physicists.

Автор: Franco Strocchi
Название: Gauge Invariance and Weyl-polymer Quantization
ISBN: 3319176943 ISBN-13(EAN): 9783319176949
Издательство: Springer
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Описание:

Introduction.- Heisenberg quantization and Weyl quantization.- Delocalization, gauge invariance and non-regular representations.- Quantum mechanical gauge models.- Non-regular representations in quantum field theory.- Diffeomorphism invariance and Weyl polymer quantization.- A generalization of Stone-von Neumann theorem.- Bibliography.- Index.

Автор: P. Grange; A. Neveu; H.C. Pauli; S. Pinsky; E. Wer
Название: New Non-Perturbative Methods and Quantization on the Light Cone
ISBN: 3540645209 ISBN-13(EAN): 9783540645207
Издательство: Springer
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Описание: Among the ways of formulating and quantizing a Hamiltonian system, the light cone approach enjoys a special status because it has the largest stability group. The aim of this volume is to present achievements and open problems in this rather unusual quantization framework.

Автор: Dmitri Gitman; Igor V. Tyutin
Название: Quantization of Fields with Constraints
ISBN: 3642839401 ISBN-13(EAN): 9783642839405
Издательство: Springer
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Описание: Gauge field theories underlie all models now used in elementary particle physics. These theories refer to the class of singular theories which are also theories with constraints. The quantization of singular theories remains one of the key problems of quantum field theory and is being intensively discussed in the literature. This book is an attempt to fill the need for a comprehensive analysis of this problem, which has not heretofore been met by the available monographs and reviews. The main topics are canonical quantization and the path integral method. In addition, the Lagrangian BRST quantization is completely described, for the first time in a monograph. The book also presents a number of original results obtained by the authors, in particular, a complete description of the physical sector of an arbitrary gauge theory, quantization of singular theories with higher theories with time-dependent constraints, and correct derivatives, quantization of canonical quantization of theories of a relativistic point-like particle. As a general illustration we present quantization of field theories such as electrodynamics, Yang-Mills theory, and gravity. It should be noted that this monograph is aimed not only at giving the reader the rules of quantization according to the principle "if you do it this way, it will be good", but also at presenting strong arguments based on the modem interpretation of the classical and quantum theories which show that these methods- are the natural, if not the only possible ones.

Автор: Heimo Latal; Wolfgang Schweiger
Название: Methods of Quantization
ISBN: 3540421009 ISBN-13(EAN): 9783540421009
Издательство: Springer
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Автор: J-P Antoine; S.T. Ali; W. Lisiecki; I.M. Mladenov;
Название: Quantization, Coherent States, and Complex Structures
ISBN: 0306452146 ISBN-13(EAN): 9780306452147
Издательство: Springer
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Описание: Proceedings of the Thirteenth Workshop on Geometric Methods in Physics held in Bialowieza, Poland, July 9-15, 1994

Автор: Mikio Namiki; I. Ohba; K. Okano; Y. Yamanaka; A.K.
Название: Stochastic Quantization
ISBN: 3662138808 ISBN-13(EAN): 9783662138809
Издательство: Springer
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Описание: The Parisi-Wu stochastic quantization method gives quantum mechanics as the thermal-equilibrium limit of a hypothetical stochastic process with respect to some fictitious time other than ordinary time. I believe that the stochastic quantization method has the potential to extend the territory of quantum mechanics and of quantum field theory.

Автор: Klauder John R
Название: Enhanced Quantization: Particles, Fields & Gravity
ISBN: 9814644625 ISBN-13(EAN): 9789814644624
Издательство: World Scientific Publishing
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Описание: This pioneering book addresses the question: Are the standard procedures of canonical quantization fully satisfactory, or is there more to learn about assigning a proper quantum system to a given classical system? As shown in this book, the answer to this question is: The standard procedures of canonical quantization are not the whole story!

Автор: E. Tirapegui
Название: Field Theory, Quantization and Statistical Physics
ISBN: 9027711283 ISBN-13(EAN): 9789027711281
Издательство: Springer
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Описание: 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.