Lectures on hyperhamiltonian dynamics and physical applications
著者
書誌事項
Lectures on hyperhamiltonian dynamics and physical applications
（Mathematical physics studies）
Springer, c2017
大学図書館所蔵 全7件
注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
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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