Lectures on Hyperhamiltonian Dynamics and Physical Applications

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Other Sciences, Applied Sciences
Cover of the book Lectures on Hyperhamiltonian Dynamics and Physical Applications by Giuseppe Gaeta, Miguel A. Rodríguez, Springer International Publishing
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Author: Giuseppe Gaeta, Miguel A. Rodríguez ISBN: 9783319543581
Publisher: Springer International Publishing Publication: July 21, 2017
Imprint: Springer Language: English
Author: Giuseppe Gaeta, Miguel A. Rodríguez
ISBN: 9783319543581
Publisher: Springer International Publishing
Publication: July 21, 2017
Imprint: Springer
Language: English

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.

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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.

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