Geometrie Symplectique Et Physique Mathematique

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Symplectic Geometry and Mathematical Physics

Author : P. Donato
Publisher : Springer Science & Business Media
ISBN 13 : 9780817635817
Total Pages : 504 pages
Book Rating : 4.6/5 (358 download)

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Book Synopsis Symplectic Geometry and Mathematical Physics by : P. Donato

Download or read book Symplectic Geometry and Mathematical Physics written by P. Donato and published by Springer Science & Business Media. This book was released on 1991-12 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference "Colloque de Goometrie Symplectique et Physique Mathematique" which was held in Aix-en-Provence (France), June 11-15, 1990, in honor of Jean-Marie Souriau. The conference was one in the series of international meetings of the Seminaire Sud Rhodanien de Goometrie, an organization of geometers and mathematical physicists at the Universities of Avignon, Lyon, Mar seille, and Montpellier. The scientific interests of Souriau, one of the founders of geometric quantization, range from classical mechanics (symplectic geometry) and quantization problems to general relativity and astrophysics. The themes of this conference cover "only" the first two of these four areas. The subjects treated in this volume could be classified in the follow ing way: symplectic and Poisson geometry (Arms-Wilbour, Bloch-Ratiu, Brylinski-Kostant, Cushman-Sjamaar, Dufour, Lichnerowicz, Medina, Ouzilou), classical mechanics (Benenti, Holm-Marsden, Marle) , particles and fields in physics (Garcia Perez-Munoz Masque, Gotay, Montgomery, Ne'eman-Sternberg, Sniatycki) and quantization (Blattner, Huebschmann, Karasev, Rawnsley, Roger, Rosso, Weinstein). However, these subjects are so interrelated that a classification by headings such as "pure differential geometry, applications of Lie groups, constrained systems in physics, etc. ," would have produced a completely different clustering! The list of authors is not quite identical to the list of speakers at the conference. M. Karasev was invited but unable to attend; C. Itzykson and M. Vergne spoke on work which is represented here only by the title of Itzykson's talk (Surfaces triangulees et integration matricielle) and a summary of Vergne's talk.

Géométrie Symplectique Et Physique Mathématique

Author :
Publisher :
ISBN 13 :
Total Pages : 572 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Géométrie Symplectique Et Physique Mathématique by :

Download or read book Géométrie Symplectique Et Physique Mathématique written by and published by . This book was released on 1975 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Géométrie Symplectique Et Physique Mathématique

Author :
Publisher :
ISBN 13 :
Total Pages : 434 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Géométrie Symplectique Et Physique Mathématique by :

Download or read book Géométrie Symplectique Et Physique Mathématique written by and published by . This book was released on 1975 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometrie Symplectique Et Physique Mathematique

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (96 download)

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Book Synopsis Geometrie Symplectique Et Physique Mathematique by :

Download or read book Geometrie Symplectique Et Physique Mathematique written by and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Symplectic, Poisson, and Noncommutative Geometry

Author : Tohru Eguchi
Publisher : Cambridge University Press
ISBN 13 : 1107056411
Total Pages : 303 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Symplectic, Poisson, and Noncommutative Geometry by : Tohru Eguchi

Download or read book Symplectic, Poisson, and Noncommutative Geometry written by Tohru Eguchi and published by Cambridge University Press. This book was released on 2014-08-25 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute.

Symplectic Geometry and Quantum Mechanics

Author : Maurice A. de Gosson
Publisher : Springer Science & Business Media
ISBN 13 : 3764375752
Total Pages : 375 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Symplectic Geometry and Quantum Mechanics by : Maurice A. de Gosson

Download or read book Symplectic Geometry and Quantum Mechanics written by Maurice A. de Gosson and published by Springer Science & Business Media. This book was released on 2006-08-06 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a very readable introduction to symplectic geometry. Many topics are also of genuine interest for pure mathematicians working in geometry and topology.

Dynamical Systems IV

Author : V.I. Arnol'd
Publisher : Springer Science & Business Media
ISBN 13 : 3662067919
Total Pages : 342 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Dynamical Systems IV by : V.I. Arnol'd

Download or read book Dynamical Systems IV written by V.I. Arnol'd and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews of the first edition:"... Here ... a wealth of material is displayed for us, too much to even indicate in a review. ... Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction." Mededelingen van het Wiskundig genootshap 1992

Dynamical Systems IV

Author : S.P. Novikov
Publisher : Springer Science & Business Media
ISBN 13 : 9783540626350
Total Pages : 352 pages
Book Rating : 4.6/5 (263 download)

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Book Synopsis Dynamical Systems IV by : S.P. Novikov

Download or read book Dynamical Systems IV written by S.P. Novikov and published by Springer Science & Business Media. This book was released on 2001-06-20 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews of the first edition:"... Here ... a wealth of material is displayed for us, too much to even indicate in a review. ... Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction." Mededelingen van het Wiskundig genootshap 1992

Methods Of Differential Geometry In Classical Field Theories: K-symplectic And K-cosymplectic Approaches

Author : Manuel De Leon
Publisher : World Scientific
ISBN 13 : 9814699772
Total Pages : 222 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Methods Of Differential Geometry In Classical Field Theories: K-symplectic And K-cosymplectic Approaches by : Manuel De Leon

Download or read book Methods Of Differential Geometry In Classical Field Theories: K-symplectic And K-cosymplectic Approaches written by Manuel De Leon and published by World Scientific. This book was released on 2015-08-28 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to review two of the most relevant approaches to the study of classical field theories of the first order, say k-symplectic and k-cosymplectic geometry. This approach is also compared with others like multisymplectic formalism.It will be very useful for researchers working in classical field theories and graduate students interested in developing a scientific career in the subject.

Deformation Theory and Symplectic Geometry

Author : Daniel Sternheimer
Publisher : Springer
ISBN 13 : 9789048148417
Total Pages : 0 pages
Book Rating : 4.1/5 (484 download)

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Book Synopsis Deformation Theory and Symplectic Geometry by : Daniel Sternheimer

Download or read book Deformation Theory and Symplectic Geometry written by Daniel Sternheimer and published by Springer. This book was released on 2010-12-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers presented at the meeting Deformation Theory, Symplectic Geometry and Applications, held in Ascona, June 17-21, 1996. The contents touch upon many frontier domains of modern mathematics, mathematical physics and theoretical physics and include authoritative, state-of-the-art contributions by leading scientists. New and important developments in the fields of symplectic geometry, deformation quantization, noncommutative geometry (NCG) and Lie theory are presented. Among the subjects treated are: quantization of general Poisson manifolds; new deformations needed for the quantization of Nambu mechanics; quantization of intersection cardinalities; quantum shuffles; new types of quantum groups and applications; quantum cohomology; strong homotopy Lie algebras; finite- and infinite-dimensional Lie groups; and 2D field theories and applications of NCG to gravity coupled with the standard model. Audience: This book will be of interest to researchers and post-graduate students of mathematical physics, global analysis, analysis on manifolds, topological groups, nonassociative rings and algebras, and Lie algebras.

Symplectic Geometry and Mathematical Physics

Author : P. Donato
Publisher : Birkhäuser
ISBN 13 : 9781475721409
Total Pages : 0 pages
Book Rating : 4.7/5 (214 download)

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Book Synopsis Symplectic Geometry and Mathematical Physics by : P. Donato

Download or read book Symplectic Geometry and Mathematical Physics written by P. Donato and published by Birkhäuser. This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference "Colloque de Goometrie Symplectique et Physique Mathematique" which was held in Aix-en-Provence (France), June 11-15, 1990, in honor of Jean-Marie Souriau. The conference was one in the series of international meetings of the Seminaire Sud Rhodanien de Goometrie, an organization of geometers and mathematical physicists at the Universities of Avignon, Lyon, Mar seille, and Montpellier. The scientific interests of Souriau, one of the founders of geometric quantization, range from classical mechanics (symplectic geometry) and quantization problems to general relativity and astrophysics. The themes of this conference cover "only" the first two of these four areas. The subjects treated in this volume could be classified in the follow ing way: symplectic and Poisson geometry (Arms-Wilbour, Bloch-Ratiu, Brylinski-Kostant, Cushman-Sjamaar, Dufour, Lichnerowicz, Medina, Ouzilou), classical mechanics (Benenti, Holm-Marsden, Marle) , particles and fields in physics (Garcia Perez-Munoz Masque, Gotay, Montgomery, Ne'eman-Sternberg, Sniatycki) and quantization (Blattner, Huebschmann, Karasev, Rawnsley, Roger, Rosso, Weinstein). However, these subjects are so interrelated that a classification by headings such as "pure differential geometry, applications of Lie groups, constrained systems in physics, etc. ," would have produced a completely different clustering! The list of authors is not quite identical to the list of speakers at the conference. M. Karasev was invited but unable to attend; C. Itzykson and M. Vergne spoke on work which is represented here only by the title of Itzykson's talk (Surfaces triangulees et integration matricielle) and a summary of Vergne's talk.

Geometry and Quantum Field Theory

Author : Daniel S. Freed
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886830
Total Pages : 476 pages
Book Rating : 4.8/5 (868 download)

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Book Synopsis Geometry and Quantum Field Theory by : Daniel S. Freed

Download or read book Geometry and Quantum Field Theory written by Daniel S. Freed and published by American Mathematical Soc.. This book was released on 1995 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first title in a new series, this book explores topics from classical and quantum mechanics and field theory. The material is presented at a level between that of a textbook and research papers making it ideal for graduate students. The book provides an entree into a field that promises to remain exciting and important for years to come.

Symplectic Geometry of Integrable Hamiltonian Systems

Author : Michèle Audin
Publisher : Birkhäuser
ISBN 13 : 3034880715
Total Pages : 225 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Symplectic Geometry of Integrable Hamiltonian Systems by : Michèle Audin

Download or read book Symplectic Geometry of Integrable Hamiltonian Systems written by Michèle Audin and published by Birkhäuser. This book was released on 2012-12-06 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. This book serves as an introduction to symplectic and contact geometry for graduate students, exploring the underlying geometry of integrable Hamiltonian systems. Includes exercises designed to complement the expositiont, and up-to-date references.

Quantum Algebras and Poisson Geometry in Mathematical Physics

Author : Mikhail Vladimirovich Karasev
Publisher : American Mathematical Soc.
ISBN 13 : 9780821840405
Total Pages : 296 pages
Book Rating : 4.8/5 (44 download)

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Book Synopsis Quantum Algebras and Poisson Geometry in Mathematical Physics by : Mikhail Vladimirovich Karasev

Download or read book Quantum Algebras and Poisson Geometry in Mathematical Physics written by Mikhail Vladimirovich Karasev and published by American Mathematical Soc.. This book was released on 2005 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents applications of Poisson geometry to some fundamental well-known problems in mathematical physics. This volume is suitable for graduate students and researchers interested in mathematical physics. It uses methods such as: unexpected algebras with non-Lie commutation relations, dynamical systems theory, and semiclassical asymptotics.

Gauge Theory and Symplectic Geometry

Author : Jacques Hurtubise
Publisher : Springer Science & Business Media
ISBN 13 : 9780792345008
Total Pages : 242 pages
Book Rating : 4.3/5 (45 download)

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Book Synopsis Gauge Theory and Symplectic Geometry by : Jacques Hurtubise

Download or read book Gauge Theory and Symplectic Geometry written by Jacques Hurtubise and published by Springer Science & Business Media. This book was released on 1997-03-31 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. The present book, with expertly written surveys of recent developments in these areas, includes some of the first expository material of Seiberg-Witten theory, which has revolutionised the subjects since its introduction in late 1994. Topics covered include: introductions to Seiberg-Witten theory, to applications of the S-W theory to four-dimensional manifold topology, and to the classification of symplectic manifolds; an introduction to the theory of pseudo-holomorphic curves and to quantum cohomology; algebraically integrable Hamiltonian systems and moduli spaces; the stable topology of gauge theory, Morse-Floer theory; pseudo-convexity and its relations to symplectic geometry; generating functions; Frobenius manifolds and topological quantum field theory.

Symplectic Geometry and Secondary Characteristic Classes

Author : Izu Vaisman
Publisher : Birkhäuser
ISBN 13 : 9781475719611
Total Pages : 216 pages
Book Rating : 4.7/5 (196 download)

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Book Synopsis Symplectic Geometry and Secondary Characteristic Classes by : Izu Vaisman

Download or read book Symplectic Geometry and Secondary Characteristic Classes written by Izu Vaisman and published by Birkhäuser. This book was released on 2014-01-15 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work grew out of a study of the Maslov class (e. g. (37]), which is a fundamental invariant in asymptotic analysis of partial differential equations of quantum physics. One of the many in terpretations of this class was given by F. Kamber and Ph. Tondeur (43], and it indicates that the Maslov class is a secondary characteristic class of a complex trivial vector bundle endowed with a real reduction of its structure group. (In the basic paper of V. I. Arnold about the Maslov class (2], it is also pointed out without details that the Maslov class is characteristic in the category of vector bundles mentioned pre viously. ) Accordingly, we wanted to study the whole range of secondary characteristic classes involved in this interpretation, and we gave a short description of the results in (83]. It turned out that a complete exposition of this theory was rather lengthy, and, moreover, I felt that many potential readers would have to use a lot of scattered references in order to find the necessary information from either symplectic geometry or the theory of the secondary characteristic classes. On the otherhand, both these subjects are of a much larger interest in differential geome try and topology, and in the applications to physical theories.

The Breadth of Symplectic and Poisson Geometry

Author : Jerrold E. Marsden
Publisher : Springer Science & Business Media
ISBN 13 : 0817644199
Total Pages : 666 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis The Breadth of Symplectic and Poisson Geometry by : Jerrold E. Marsden

Download or read book The Breadth of Symplectic and Poisson Geometry written by Jerrold E. Marsden and published by Springer Science & Business Media. This book was released on 2007-07-03 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: * The invited papers in this volume are written in honor of Alan Weinstein, one of the world’s foremost geometers * Contributions cover a broad range of topics in symplectic and differential geometry, Lie theory, mechanics, and related fields * Intended for graduate students and working mathematicians, this text is a distillation of prominent research and an indication of future trends in geometry, mechanics, and mathematical physics