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Lectures on Geometric Quantization, D.J. Simms; N.M.J. Woodhouse


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Автор: D.J. Simms; N.M.J. Woodhouse
Название:  Lectures on Geometric Quantization
ISBN: 9783540078609
Издательство: Springer
Классификация: ISBN-10: 3540078606
Обложка/Формат: Paperback
Страницы: 169
Вес: 0.29 кг.
Дата издания: 20.08.1976
Серия: Lecture Notes in Physics
Язык: English
Размер: 244 x 170 x 10
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии


Quantization, Coherent States, and Complex Structures

Автор: J-P Antoine; S.T. Ali; W. Lisiecki; I.M. Mladenov;
Название: Quantization, Coherent States, and Complex Structures
ISBN: 148991062X ISBN-13(EAN): 9781489910622
Издательство: Springer
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Цена: 20962.00 р.
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Описание: The XIIIth Bialowieza Summer Workshop was held from July 9 to 15, 1994. While still within the general framework of Differential Geometric Methods in Physics, the XnIth Workshop was expanded in scope to include quantum groups, q-deformations and non-commutative geometry. It is expected that lectures on these topics will now become an integral part of future workshops. In the more traditional areas, lectures were devoted to topics in quantization, field theory, group representations, coherent states, complex and Poisson structures, the Berry phase, graded contractions and some infinite-dimensional systems. Those of us who have taken part in the evolution of the workshops over the years, feel a good measure of satisfaction with the excellent quality of the papers presented, in particular the mathematical rigour and novelty. Each year a significant number of new results are presented and future directions of research are discussed. Their freshness and immediacy inevitably leads to intense discussions and an exchange of ideas in an informal and physically charming environment. The present workshop also had a higher attendance than its predecessors, with ap- proximately 65 registered participants. As usual, there was a large number of graduate students and young researchers among them.

Geometric Quantization and Quantum Mechanics

Автор: Jedrzej Sniatycki
Название: Geometric Quantization and Quantum Mechanics
ISBN: 0387904697 ISBN-13(EAN): 9780387904696
Издательство: Springer
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Цена: 14365.00 р.
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Описание: The aim of the seminars was to present geometric quantization from the point of view* of its applica- tions to quantum mechanics, and to introduce the quantum dynamics of various physical systems as the result of the geometric quantization of the classical dynamics of these systems.

Hamiltonian Mechanical Systems and Geometric Quantization

Автор: Mircea Puta
Название: Hamiltonian Mechanical Systems and Geometric Quantization
ISBN: 9401048800 ISBN-13(EAN): 9789401048804
Издательство: Springer
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Цена: 6986.00 р.
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Описание: The book is a revised and updated version of the lectures given by the author at the University of Timioara during the academic year 1990-1991. Its goal is to present in detail someold and new aspects ofthe geometry ofsymplectic and Poisson manifolds and to point out some of their applications in Hamiltonian mechanics and geometric quantization. The material is organized as follows. In Chapter 1 we collect some general facts about symplectic vector spaces, symplectic manifolds and symplectic reduction. Chapter 2 deals with the study ofHamiltonian mechanics. We present here the gen- eral theory ofHamiltonian mechanicalsystems, the theory ofthe corresponding Pois- son bracket and also some examples ofinfinite-dimensional Hamiltonian mechanical systems. Chapter 3 starts with some standard facts concerning the theory of Lie groups and Lie algebras and then continues with the theory ofmomentum mappings and the Marsden-Weinstein reduction. The theory of Hamilton-Poisson mechan- ical systems makes the object of Chapter 4. Chapter 5 js dedicated to the study of the stability of the equilibrium solutions of the Hamiltonian and the Hamilton- Poisson mechanical systems. We present here some of the remarcable results due to Holm, Marsden, Ra iu and Weinstein. Next, Chapter 6 and 7 are devoted to the theory of geometric quantization where we try to solve, in a geometrical way, the so called Dirac problem from quantum mechanics. We follow here the construc- tion given by Kostant and Souriau around 1964.

Geometric Quantization in Action

Автор: N.E. Hurt
Название: Geometric Quantization in Action
ISBN: 9400969651 ISBN-13(EAN): 9789400969650
Издательство: Springer
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Цена: 15372.00 р.
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Hamiltonian Mechanical Systems and Geometric Quantization

Автор: Mircea Puta
Название: Hamiltonian Mechanical Systems and Geometric Quantization
ISBN: 0792323068 ISBN-13(EAN): 9780792323068
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Presents various aspects of the geometry of symplectic and Poisson manifolds, and applications in Hamiltonian mechanics and geometric quantization . Each chapter concludes with problems and solutions, many of which present significant applications, and in some cases, major theorems.

Non-linear Partial Differential Operators and Quantization Procedures

Автор: S.I. Andersson; H.-D. Doebner
Название: Non-linear Partial Differential Operators and Quantization Procedures
ISBN: 3540127100 ISBN-13(EAN): 9783540127109
Издательство: Springer
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Цена: 4884.00 р.
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Quantization, Coherent States, and Complex Structures

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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Цена: 26546.00 р.
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Описание: Proceedings of the Thirteenth Workshop on Geometric Methods in Physics held in Bialowieza, Poland, July 9-15, 1994

Quantization and Non-holomorphic Modular Forms

Автор: Andr? Unterberger
Название: Quantization and Non-holomorphic Modular Forms
ISBN: 3540678611 ISBN-13(EAN): 9783540678618
Издательство: Springer
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Цена: 5583.00 р.
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Описание: This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis.

Quantization of Fields with Constraints

Автор: Dmitri Gitman; Igor V. Tyutin
Название: Quantization of Fields with Constraints
ISBN: 3642839401 ISBN-13(EAN): 9783642839405
Издательство: Springer
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Цена: 13060.00 р.
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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.

Methods of Quantization

Автор: Heimo Latal; Wolfgang Schweiger
Название: Methods of Quantization
ISBN: 3540421009 ISBN-13(EAN): 9783540421009
Издательство: Springer
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Цена: 14365.00 р.
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Vector Quantization and Signal Compression

Автор: Allen Gersho; Robert M. Gray
Название: Vector Quantization and Signal Compression
ISBN: 1461366127 ISBN-13(EAN): 9781461366126
Издательство: Springer
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Цена: 11753.00 р.
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Описание: , data compression applied to signals such as speech, audio, images, and video signals (excluding other data types such as financial data or general- purpose computer data).

New Non-Perturbative Methods and Quantization on the Light Cone

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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Цена: 12157.00 р.
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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.


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