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Lectures on Hyperhamiltonian Dynamics and Physical Applications / by Giuseppe Gaeta, Miguel A. Rodríguez.
- Format:
- Book
- Author/Creator:
- Gaeta, Giuseppe, Author.
- Rodriguez, Miguel A., Author.
- Series:
- Mathematical Physics Studies, 2352-3905
- Language:
- English
- Subjects (All):
- Mathematical physics.
- Physics.
- Quantum theory.
- Mechanics.
- Mathematical Methods in Physics.
- Applied and Technical Physics.
- Quantum Physics.
- Mathematical Physics.
- Classical Mechanics.
- Local Subjects:
- Mathematical Methods in Physics.
- Applied and Technical Physics.
- Quantum Physics.
- Mathematical Physics.
- Classical Mechanics.
- Physical Description:
- 1 online resource (XV, 182 p.)
- Edition:
- 1st ed. 2017.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2017.
- Summary:
- 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.
- Contents:
- 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.
- Notes:
- Includes bibliographical references and index.
- ISBN:
- 3-319-54358-X
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