Lectures on Hyperhamiltonian Dynamics and Physical Applications By Giuseppe Gaeta, Prof. Dr. Miguel A. Rodríguez
English | PDF | 2017 | 193 Pages | ISBN : 3319543571 | 2.4 MB
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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