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Record Nr. |
UNINA9910254580803321 |
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Autore |
Gaeta Giuseppe |
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Titolo |
Lectures on hyperhamiltonian dynamics and physical applications / / by Giuseppe Gaeta, Miguel A. Rodríguez |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
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ISBN |
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Edizione |
[1st ed. 2017.] |
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Descrizione fisica |
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1 online resource (XV, 182 p.) |
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Collana |
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Mathematical Physics Studies, , 0921-3767 |
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Disciplina |
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Soggetti |
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Physics |
Quantum physics |
Mathematical physics |
Mechanics |
Mathematical Methods in Physics |
Applied and Technical Physics |
Quantum Physics |
Mathematical Physics |
Classical Mechanics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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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Sommario/riassunto |
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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 hyperkähler one (thus there are three Kähler/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 |
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