Lectures on Hyperhamiltonian Dynamics and Physical Applications

• Main Authors: Gaeta, Giuseppe (Author), Rodríguez, Miguel A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Mathematical Physics Studies,
• Subjects: Physics.; Mathematical physics.; Quantum physics.; Mathematical Methods in Physics.; Applied and Technical Physics.; Quantum Physics.; Mathematical Physics.; Classical Mechanics.

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...

Table of 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.