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Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete, Ludwig Faddeev; Pierre Van Moerbeke; Franklin Lamb


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Автор: Ludwig Faddeev; Pierre Van Moerbeke; Franklin Lamb
Название:  Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete
ISBN: 9781402035012
Издательство: Springer
Классификация:
ISBN-10: 1402035012
Обложка/Формат: Hardcover
Страницы: 378
Вес: 0.75 кг.
Дата издания: 31.05.2006
Серия: Nato Science Series II:
Язык: English
Размер: 234 x 156 x 24
Основная тема: Physics
Подзаголовок: Proceedings of the NATO Advanced Research Workshop on Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete St. Petersburg, Russia, 15-19 September 2002
Ссылка на Издательство: Link
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Поставляется из: Германии
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, butcouldkeepthetitleofEmperorofElba. 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.


Автор: Perelomov A. M.
Название: Integrable Systems of Classical Mechanics and Lie Algebras Volume I
ISBN: 3764323361 ISBN-13(EAN): 9783764323363
Издательство: Springer
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Описание: The investigation of integrable systems was an important line of study. Remarkable progress has been made in this field via the so-called isospectral deformation method which makes extensive use of group-theoretical concepts. This book focuses on the development and applications of this method.

Discrete Integrable Systems

Автор: Basil Grammaticos; Yvette Kosmann-Schwarzbach; Tha
Название: Discrete Integrable Systems
ISBN: 3540214259 ISBN-13(EAN): 9783540214250
Издательство: Springer
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Описание: This volume consists of a set of ten lectures conceived as both introduction and up-to-date survey on discrete integrable systems. Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.

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.

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

Geometric and Quantum Aspects of Integrable Systems

Автор: G.F. Helminck
Название: Geometric and Quantum Aspects of Integrable Systems
ISBN: 3662139308 ISBN-13(EAN): 9783662139301
Издательство: Springer
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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.

Analytic-Bilinear Approach to Integrable Hierarchies

Автор: L.V. Bogdanov
Название: Analytic-Bilinear Approach to Integrable Hierarchies
ISBN: 9401059225 ISBN-13(EAN): 9789401059220
Издательство: Springer
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Описание: The subject of this book is the hierarchies of integrable equations connected with the one-component and multi component loop groups. There are many publications on this subject, and it is rather well defined. Thus, the author would like t.o explain why he has taken the risk of revisiting the subject. The Sato Grassmannian approach, and other approaches standard in this context, reveal deep mathematical structures in the base of the integrable hi- erarchies. These approaches concentrate mostly on the algebraic picture, and they use a language suitable for applications to quantum field theory. Another well-known approach, the a-dressing method, developed by S. V. Manakov and V.E. Zakharov, is oriented mostly to particular systems and ex- act classes of their solutions. There is more emphasis on analytic properties, and the technique is connected with standard complex analysis. The language of the a-dressing method is suitable for applications to integrable nonlinear PDEs, integrable nonlinear discrete equations, and, as recently discovered, for t.he applications of integrable systems to continuous and discret.e geometry. The primary motivation of the author was to formalize the approach to int.e- grable hierarchies that was developed in the context of the a-dressing method, preserving the analytic struetures characteristic for this method, but omitting the peculiarit.ies of the construetive scheme. And it was desirable to find a start.-

Analytic-Bilinear Approach to Integrable Hierarchies

Автор: L.V. Bogdanov
Название: Analytic-Bilinear Approach to Integrable Hierarchies
ISBN: 0792359194 ISBN-13(EAN): 9780792359197
Издательство: Springer
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Описание: Presents the analytic-bilinear approach to integrable hierarchies, which gives a consistent and technically simple description of integrable hierarchies. This book shows a different way to understand rather complicated structures, using mostly standard complex analysis.

Bilinear Control Systems

Автор: David Elliott
Название: Bilinear Control Systems
ISBN: 9048181690 ISBN-13(EAN): 9789048181698
Издательство: Springer
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Описание: The mathematical theory of control became a ?eld of study half a century ago in attempts to clarify and organize some challenging practical problems and the methods used to solve them. It is known for the breadth of the mathematics it uses and its cross-disciplinary vigor. Its literature, which can befoundinSection93ofMathematicalReviews, wasatonetimedominatedby the theory of linear control systems, which mathematically are described by linear di?erential equations forced by additive control inputs. That theory led to well-regarded numerical and symbolic computational packages for control analysis and design. Nonlinear control problems are also important; in these either the - derlying dynamical system is nonlinear or the controls are applied in a n- additiveway.Thelastfourdecadeshaveseenthedevelopmentoftheoretical work on nonlinear control problems based on di?erential manifold theory, nonlinear analysis, and several other mathematical disciplines. Many of the problems that had been solved in linear control theory, plus others that are new and distinctly nonlinear, have been addressed; some resulting general de?nitions and theorems are adapted in this book to the bilinear case

Optimization and Control of Bilinear Systems

Автор: Panos Pardalos; Vitaliy A. Yatsenko
Название: Optimization and Control of Bilinear Systems
ISBN: 1441944680 ISBN-13(EAN): 9781441944689
Издательство: Springer
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Описание: The aim of this book is to acquaint the reader with developments in bilinear systems theory and its applications. Bilinear systems can be used to represent a wide range of physical, chemical, biological, and social systems, as well as manufacturing processes.

Linear Optimal Control of Bilinear Systems

Автор: Zijad Aganovic; Zoran Gajic
Название: Linear Optimal Control of Bilinear Systems
ISBN: 3540199764 ISBN-13(EAN): 9783540199762
Издательство: Springer
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Описание: This book is designed to be a comprehensive treatment of linear methods to optimal control of bilinear systems. The book also examines two special classes of bilinear-quadratic control problems: namely singularly perturbed and weakly coupled bilinear control systems.

Theory of Bilinear Dynamical Systems

Автор: Antonio Ruberti; Alberto Isidori; Paolo D`Alessand
Название: Theory of Bilinear Dynamical Systems
ISBN: 3211812067 ISBN-13(EAN): 9783211812068
Издательство: Springer
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Introduction to Classical Integrable Systems

Автор: Babelon
Название: Introduction to Classical Integrable Systems
ISBN: 052182267X ISBN-13(EAN): 9780521822671
Издательство: Cambridge Academ
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Описание: A clear and pedagogical introduction to classical integrable systems and their applications. It synthesizes the different approaches to the subject, providing a set of interconnected methods for solving problems in mathematical physics. Each method is introduced and explained, before being applied to particular examples.


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