Lectures on Hyperhamiltonian Dynamics and Physical Applications〈1st ed. 2017〉

著者名：Gaeta, Giuseppe/Rodríguez, Miguel A.

Springer（2017/07/21発売）

• 言語：ENG
• ISBN：9783319543574
• eISBN：9783319543581

Description

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.

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.