Stochastic Behavior in Classical and Quantum Hamiltonian Systems, G. Casati; J. Ford

Автор: Rothe Heinz J & Rothe Klaus D
Название: Classical And Quantum Dynamics Of Constrained Hamiltonian Systems
ISBN: 9814299642 ISBN-13(EAN): 9789814299640
Издательство: World Scientific Publishing
Цена: 17107.00 р.
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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.

Автор: H.S. Dumas; K.R. Meyer; D.S. Schmidt
Название: Hamiltonian Dynamical Systems
ISBN: 1461384508 ISBN-13(EAN): 9781461384502
Издательство: Springer
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Цена: 16769.00 р.
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Описание: From its origins nearly two centuries ago, Hamiltonian dynamics has grown to embrace the physics of nearly all systems that evolve without dissipation, as well as a number of branches of mathematics, some of which were literally created along the way.

Автор: Meyer, Kenneth Offin, Daniel C.
Название: Introduction to hamiltonian dynamical systems and the n-body problem
ISBN: 3319536907 ISBN-13(EAN): 9783319536903
Издательство: Springer
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Цена: 11179.00 р.
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Описание: Providing expanded material on the restricted three body problem and celestial mechanics, the third edition has new material on reduction, orbifolds and the regularization of the Kepler problem, all with applications. It provides a mathematical structure of celestial mechanics for beginners, and will be useful to graduate students and researchers.

Автор: Maciej Blaszak
Название: Multi-Hamiltonian Theory of Dynamical Systems
ISBN: 3642637809 ISBN-13(EAN): 9783642637803
Издательство: Springer
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Цена: 13060.00 р.
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Описание: This book offers a modern introduction to the Hamiltonian theory of dynamical systems, presenting a unified treatment of all types of dynamical systems, i.e., finite, lattice, and field. Particular attention is paid to nonlinear systems that have more than one Hamiltonian formulation in a single coordinate system.

Автор: Llibre, Jaume Moeckel, Richard Simo, Carles
Название: Central configurations, periodic orbits, and hamiltonian systems
ISBN: 3034809328 ISBN-13(EAN): 9783034809320
Издательство: Springer
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Цена: 4191.00 р.
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Описание: 1 The Averaging Theory for Computing Periodic Orbits.- Introduction: the classical theory.- Averaging theory for arbitrary order and dimension.- Three applications of Theorem.- 2 Lectures on Central Configurations.- The n-body problem.- Symmetries and integrals.- Central configurations and self-similar solutions.- Matrix equations of motion.- Homographic motions of central configurations in Rd.- Albouy-Chenciner reduction and relative equilibria in Rd.- Homographic motions in Rd.- Central configurations as critical points.- Collinear central configurations.- Morse indices of non-collinear central configurations.- Morse theory for CC's and SBC's.- Dziobek configurations.- Convex Dziobek central configurations.- Generic finiteness for Dziobek central configurations.- Some open problems.- 3 Dynamical Properties of Hamiltonian Systems.- Introduction.- Low dimension.- Some theoretical results, their implementation and practical tools.- Applications to Celestial Mechanics.

Автор: Sergej B. Kuksin
Название: Nearly Integrable Infinite-Dimensional Hamiltonian Systems
ISBN: 3540571612 ISBN-13(EAN): 9783540571612
Издательство: Springer
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Цена: 3492.00 р.
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Описание: This monograph is devoted to partial differential equations (PDEs) of Hamiltonian form. For each equation, a KAM-like theorem is proved, and then applied to classical nonlinear PDEs with one-dimensional space variables, such as the nonlinear string and nonlinear Schroedinger equations.

Автор: P.H. Rabinowitz; A. Ambrosetti; I. Ekeland; E.J. Z
Название: Periodic Solutions of Hamiltonian Systems and Related Topics
ISBN: 9401082456 ISBN-13(EAN): 9789401082457
Издательство: Springer
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Цена: 28929.00 р.
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Автор: Jean Mawhin
Название: Critical Point Theory and Hamiltonian Systems
ISBN: 038796908X ISBN-13(EAN): 9780387969084
Издательство: Springer
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Цена: 18284.00 р.
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Описание: Presents the basic tools of critical point theory such as minimization, convex functions and Fenchel transform, dual least action principle, Ekeland variational principle, minimax methods, Lusternik- Schirelmann theory for Z2 and S1 symmetries, Morse theory for possibly degenerate critical points and non-degenerate critical manifolds.

Автор: Joaqu?n Delgado; Ernesto A. Lacomba; Jaume Llibre;
Название: New Advances in Celestial Mechanics and Hamiltonian Systems
ISBN: 1461347785 ISBN-13(EAN): 9781461347781
Издательство: Springer
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Цена: 20962.00 р.
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Описание: The aim of the IV International Symposium on Hamiltonian Systems and Celestial Mechanics, HAMSYS-2001 was to join top researchers in the area of Celestial Mechanics, Hamiltonian systems and related topics in order to communicate new results and look forward for join research projects.

Автор: Aubin; Bensoussan; Ekeland
Название: Advances in Hamiltonian Systems
ISBN: 0817631305 ISBN-13(EAN): 9780817631307
Издательство: Springer
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Цена: 11179.00 р.
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Автор: Birgit Jacob; Hans J. Zwart
Название: Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces
ISBN: 3034808119 ISBN-13(EAN): 9783034808118
Издательство: Springer
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Цена: 8384.00 р.
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Описание: This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems.