Lectures on Hyperhamiltonian Dynamics and Physical Applications
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 sy...
| Main Authors: | , |
|---|---|
| Corporate Author: | |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2017.
|
| Edition: | 1st ed. 2017. |
| Series: | Mathematical Physics Studies,
|
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-319-54358-1 |
| 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. |
|---|---|
| Physical Description: | XV, 182 p. online resource. |
| ISBN: | 9783319543581 |
| ISSN: | 0921-3767 |