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Lectures on Hyperhamiltonian Dynamics and Physical Applications (Hardcover, 1st ed. 2017)
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Lectures on Hyperhamiltonian Dynamics and Physical Applications (Hardcover, 1st ed. 2017)
Series: Mathematical Physics Studies
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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 hyperkahler one (thus there are three
Kahler/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.
General
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