Lectures on hyperhamiltonian dynamics and physical applications
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Bibliographic Information
Lectures on hyperhamiltonian dynamics and physical applications
（Mathematical physics studies）
Springer, c2017
Available at / 7 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
This book provides the mathematical foundations of the theory of hyperhamiltonian dynamics, together with a discussion of physical applications. In addition, some open problems are discussed. Hyperhamiltonian mechanics represents a generalization of Hamiltonian mechanics, in which the role of the symplectic structure is taken by a hyperkahler one (thus there are three Kahler/symplectic forms satisfying quaternionic relations). This has proved to be of use in the description of physical systems with spin, including those which do not admit a Hamiltonian formulation. The book is the first monograph on the subject, which has previously been treated only in research papers.
Table of Contents
Introduction.- 1 Background material.- 2 Hyperhamiltonian dynamics.- 3 Quaternionic transformations for Hyperkahler structures in Euclidean spaces.- 4 Integrable hyperhamiltonian systems.- 5 Physical applications.- References.- Index.
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