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Lectures on Hyperhamiltonian Dynamics and Physical Applications

Gebonden Engels 2017 9783319543574
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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 papers.

Specificaties

ISBN13:9783319543574
Taal:Engels
Bindwijze:gebonden
Uitgever:Springer International Publishing

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Inhoudsopgave

<p>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.</p>

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        Lectures on Hyperhamiltonian Dynamics and Physical Applications