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Lectures on hyperhamiltonian dynamic...

Gaeta, Giuseppe.

Lectures on hyperhamiltonian dynamics and physical applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lectures on hyperhamiltonian dynamics and physical applicationsby Giuseppe Gaeta, Miguel A. Rodriguez.
Author:	Gaeta, Giuseppe.
other author:	Rodriguez, Miguel A.
Published:	Cham :Springer International Publishing :2017.
Description:	xv, 182 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Hamiltonian systems.
Online resource:	http://dx.doi.org/10.1007/978-3-319-54358-1
ISBN:	9783319543581$q(electronic bk.)

Lectures on hyperhamiltonian dynamics and physical applications
Gaeta, Giuseppe.

Lectures on hyperhamiltonian dynamics and physical applications[electronic resource] /by Giuseppe Gaeta, Miguel A. Rodriguez. - Cham :Springer International Publishing :2017. - xv, 182 p. :ill., digital ;24 cm. - Mathematical physics studies,0921-3767. - Mathematical physics studies..

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.

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 hyperkahler one (thus there are three Kahler/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.

ISBN: 9783319543581$q(electronic bk.)

Standard No.: 10.1007/978-3-319-54358-1doiSubjects--Topical Terms:

207807
Hamiltonian systems.

LC Class. No.: QA614.83

Dewey Class. No.: 515.39

Lectures on hyperhamiltonian dynamics and physical applications
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520 $a 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 hyperkahler one (thus there are three Kahler/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.
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