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Lectures on Hyperhamiltonian Dynamics and Physical Applications

Lectures on Hyperhamiltonian Dynamics and Physical Applications

Inhalt

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.

Bibliografische Angaben

August 2018, 182 Seiten, Mathematical Physics Studies, Englisch
Springer Nature EN
978-3-319-85378-9

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Weitere Titel der Reihe: Mathematical Physics Studies

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