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商品詳細
Lectures on Hyperhamiltonian Dynamics and Physical Applications. 1st ed. 2017
・ISBN 978-3-319-54357-4 hard EUR 79.99
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| 著者・編者 | Gaeta, Giuseppe / Rodriguez, Miguel A., |
|---|---|
| シリーズ | (Mathematical Physics Studies) |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2017 |
| ページ数 | 182 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A05-10205＞ |
解説
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 hyperkaehler one (thus there are three Kaehler/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.