Lectures on Hyperhamiltonian Dynamics and Physical Applications

Name: Lectures on Hyperhamiltonian Dynamics and Physical Applications
Brand: Springer Nature
SKU: 9783319543574
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Springer Nature

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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 hyperkhler one (thus there are three Khler/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.

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