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Author Gaeta, Giuseppe, author
Title Lectures on hyperhamiltonian dynamics and physical applications / by Giuseppe Gaeta, Miguel A. Rodriguez
Imprint Cham : Springer International Publishing : Imprint: Springer, 2017
book jacket
Descript 1 online resource (xv, 182 pages) : illustrations, digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Series Mathematical physics studies, 0921-3767
Mathematical physics studies
Note Introduction -- 1 Background material -- 2 Hyperhamiltonian dynamics -- 3 Quaternionic transformations for Hyperkahler structures in Euclidean spaces -- 4 Integrable hyperhamiltonian systems -- 5 Physical applications -- References -- Index
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
Host Item Springer eBooks
Subject Hamiltonian systems
Mathematical Methods in Physics
Applied and Technical Physics
Quantum Physics
Mathematical Physics
Classical Mechanics
Alt Author Rodriguez, Miguel A., author
SpringerLink (Online service)
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