Lectures on Hyperhamiltonian Dynamics and Physical Applications / by Giuseppe Gaeta, Miguel A. Rodríguez.
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Gaeta, Giuseppe. (författare)
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Rodríguez, Miguel A. (författare)
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SpringerLink (Online service)
- ISBN 9783319543581
- Publicerad: Cham : Springer International Publishing : 2017
- Engelska XV, 182 p.
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Serie: Mathematical Physics Studies, 0921-3767
- Relaterad länk:
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http://dx.doi.org/10... (Table of Contents / Abstracts)
Innehållsförteckning
Sammanfattning
Ämnesord
Stäng
- 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 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.
Ämnesord
- Physics. (LCSH)
- Mathematical physics. (LCSH)
- Quantum physics. (LCSH)
- Physics.
- Mathematical Methods in Physics.
- Applied and Technical Physics.
- Quantum Physics.
- Mathematical Physics.
- Classical Mechanics.
Klassifikation
- QC5.53 (LCC)
- SCI040000 (ämneskategori)
- 530.15 (DDC)
- Ucced (kssb/8 (machine generated))
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