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Geometric and Quantum Aspects of Integrable Systems, G.F. Helminck


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Автор: G.F. Helminck
Название:  Geometric and Quantum Aspects of Integrable Systems
ISBN: 9783662139301
Издательство: Springer
Классификация: ISBN-10: 3662139308
Обложка/Формат: Soft cover
Страницы: 228
Вес: 0.34 кг.
Дата издания: 20.11.2013
Серия: Lecture Notes in Physics
Язык: English
Размер: 234 x 156 x 13
Читательская аудитория: Science
Основная тема: Complex Systems
Подзаголовок: Proceedings of the Eighth Scheveningen Conference Scheveningen, The Netherlands, August 16–21, 1992
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Поставляется из: Германии
Описание: The survey articles on integrable systems give a comprehensive survey of modern research in this area. Algebraic and geometric aspects are dealt with, as are non-linear equations, hierarchies of equations, and quantum groups.


Geometric Aspects of the Einstein Equations and Integrable Systems

Автор: Rodolfo Martini
Название: Geometric Aspects of the Einstein Equations and Integrable Systems
ISBN: 3540160396 ISBN-13(EAN): 9783540160397
Издательство: Springer
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Global Aspects of Classical Integrable Systems

Автор: Richard H. Cushman; Larry M. Bates
Название: Global Aspects of Classical Integrable Systems
ISBN: 3034809174 ISBN-13(EAN): 9783034809177
Издательство: Springer
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Описание: This book gives a uniquely complete description of the geometry of the energy momentum mapping of five classical integrable systems: the 2-dimensional harmonic oscillator, the geodesic flow on the 3-sphere, the Euler top, the spherical pendulum and the Lagrange top.

Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete

Автор: Ludwig Faddeev; Pierre Van Moerbeke; Franklin Lamb
Название: Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete
ISBN: 1402035012 ISBN-13(EAN): 9781402035012
Издательство: Springer
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Цена: 28929.00 р.
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Описание: On April 29, 1814 Napoleon landed on the island of Elba, surrounded with a personal army of 1200 men. The allies, Russia, Prussia, England and Austria, hadforcedhimintoexileafteranumberofverycostlydefeats;hewasdeprived ofallhistitles, butcouldkeepthetitleof"EmperorofElba". Historytellsusthat each morning he took long walks in the sun, reviewed his army each midday anddiscussedworldmatterswithnewlyappointedadvisors, followingthesame pattern everyday, to the great surprise of Campbell, the British of?cer who was to keep an eye on him. All this made everyone believe he was settled there for good. Napoleononcesaid: Elbaisbeautiful, butabitsmall. Elbawasde?nitely a source of inspiration; indeed, the early morning, March 6, 1815, Metternich, the chancellor of Austria was woken up by one of his aides with the stunning news that Napoleon had left Elba with his 1200 men and was marching to Paris with little resistance; A few days later he took up his throne again in the Tuileries. In spite of his insatiable hunger for battles and expansion, he is remembered as an important statesman. He was a pioneer in setting up much of the legal, administrative and political machinery in large parts of continental Europe. We gathered here in a lovely and quaint ?shing port, Marciana Marina on theislandofElba, tocelebrateoneofthepioneersofintegrablesystems, Hirota Sensei, andthisattheoccasionofhisseventiethbirthday. Trainedasaphysicist in his home university Kyushu University, Professor Hirota earned his PhD in '61 at Northwestern University with Professor Siegert in the ?eld of "Quantum Statistical mechanics". He wrote a widely appreciated Doctoral dissertation on "FunctionalIntegralrepresentationofthegrandpartitionfunction".

Integrable Systems and Quantum Groups

Автор: Ron Donagi; Mauro Francaviglia; Silvio Greco; Bori
Название: Integrable Systems and Quantum Groups
ISBN: 3540605428 ISBN-13(EAN): 9783540605423
Издательство: Springer
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Описание: The aim of this CIME session was to review the state of the art in the development of the theory of integrable systems and their relations with quantum groups. The papers in this volume contain both a survey of problems and a number of original contributions to the subject.

Algebraic Aspects of Integrable Systems

Автор: A.S. Fokas; I.M. Gelfand
Название: Algebraic Aspects of Integrable Systems
ISBN: 1461275350 ISBN-13(EAN): 9781461275350
Издательство: Springer
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Описание: Irene Dorfman died in Moscow on April 6, 1994, shortly after seeing her beautiful book on Dirac structures I]. The present volume contains a collection of papers aiming at celebrating her outstanding contributions to mathematics. Her most important discoveries are associated with the algebraic structures arising in the study of integrable equations. Most of the articles contained in this volume are in the same spirit. Irene, working as a student of Israel Gel'fand made the fundamental dis- covery that integrability is closely related to the existence of bi-Hamiltonian structures 2], 3]. These structures were discovered independently, and al- most simultaneously, by Magri 4] (see also 5]). Several papers in this book are based on this remarkable discovery. In particular Fokas, Olver, Rosenau construct large classes on integrable equations using bi-Hamiltonian struc- tures, Fordy, Harris derive such structures by considering the restriction of isospectral flows to stationary manifolds and Fuchssteiner discusses similar structures in a rather abstract setting.

Integrable Systems, Quantum Groups, and Quantum Field Theories

Автор: Alberto Ibort; M.A. Rodr?guez
Название: Integrable Systems, Quantum Groups, and Quantum Field Theories
ISBN: 9401048746 ISBN-13(EAN): 9789401048743
Издательство: Springer
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Описание: Proceedings of the NATO Advanced Study Institute and XXIII GIFT International Seminar on `Recent Problems in Mathematical Physics`, Salamanca, Spain, June 15-27, 1992

New Trends In Quantum Integrable Systems - Proceedings Of The Infinite Analysis 09

Автор: Feigin Boris Et Al
Название: New Trends In Quantum Integrable Systems - Proceedings Of The Infinite Analysis 09
ISBN: 9814324361 ISBN-13(EAN): 9789814324366
Издательство: World Scientific Publishing
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Цена: 26136.00 р.
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Описание: A volume that is the result of the international workshop on New Trends in Quantum Integrable Systems that was held in Kyoto, Japan, from 27 to 31 July 2009. It includes research articles based on the talks presented at the workshop, including the results obtained thereafter.

Global Aspects of Classical Integrable Systems

Автор: Richard H. Cushman; Larry M. Bates
Название: Global Aspects of Classical Integrable Systems
ISBN: 3034898177 ISBN-13(EAN): 9783034898171
Издательство: Springer
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Цена: 9776.00 р.
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Описание: This book gives a complete global geometric description of the motion of the two di- mensional hannonic oscillator, the Kepler problem, the Euler top, the spherical pendulum and the Lagrange top.

Lectures on Integrable Systems

Автор: Jens Hoppe
Название: Lectures on Integrable Systems
ISBN: 3662138824 ISBN-13(EAN): 9783662138823
Издательство: Springer
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Integrable Systems and Applications

Автор: Mikhael Balabane; Pierre Lochak; Catherine Sulem
Название: Integrable Systems and Applications
ISBN: 366213747X ISBN-13(EAN): 9783662137475
Издательство: Springer
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Описание: In this volume nonlinear systems related to integrable systems are studied. Lectures cover such topics as the application of integrable systems to the description of natural phenomena, the elaboration of perturbation theories, and the statistical mechanics of ensembles of objects obeying integrable equations. The more physical lectures center largely around the three paradigmatic equations: Korteweg de Vries, Sine-Gordon and Nonlinear Schr dinger, especially the latter. These have long been of great mathematical interest, and also exhibit a "universality" which places them among the most frequently encountered integrable equations in the description of physical systems. Tidal waves, optical fibers and laser beams are among the topics discussed. Lectures are also devoted to multidimensional solitons, integrability of Hamiltonian systems of ODEs and dissipative systems of PDEs.

Integrable Quantum Field Theories

Автор: L. Bonora; Giuseppe Mussardo; A. Schwimmer; L. Gir
Название: Integrable Quantum Field Theories
ISBN: 0306445344 ISBN-13(EAN): 9780306445347
Издательство: Springer
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Описание: Proceedings of a NATO ARW held in Como, Italy, September 14-19, 1992

Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory

Автор: S. Pakuliak; G. von Gehlen
Название: Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory
ISBN: 0792371836 ISBN-13(EAN): 9780792371830
Издательство: Springer
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Описание: Proceedings of the NATO Advanced Research Workshop on Dynamical Symmetries of Integrable Quantum Field Theories and Lattice Models, Kiev, Ukraine, September 25-30, 2000


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