Author : Giuseppe Gaeta
Publisher : Springer
ISBN 13 : 331954358X
Total Pages : 193 pages
Book Rating : 4.3/5 (195 download)
Book Synopsis Lectures on Hyperhamiltonian Dynamics and Physical Applications by : Giuseppe Gaeta
Download or read book Lectures on Hyperhamiltonian Dynamics and Physical Applications written by Giuseppe Gaeta and published by Springer. This book was released on 2017-07-21 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.