Lectures on hyperhamiltonian dynamics and physical applications / / by Giuseppe Gaeta, Miguel A. Rodríguez

• Autore: Gaeta Giuseppe
• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
• Edizione: 1st ed. 2017.
• Descrizione fisica: 1 online resource (XV, 182 p.)
• Disciplina: 514.74
• Soggetto topico: Physics; Quantum physics; Mathematical physics; Mechanics; Mathematical Methods in Physics; Applied and Technical Physics; Quantum Physics; Mathematical Physics; Classical Mechanics
• Persona (resp. second.): RodríguezMiguel A
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Lectures on Hyperhamiltonian Dynamics and Physical Applications
• ISBN: 3-319-54358-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910254580803321
• Lo trovi qui: Univ. Federico II
• Serie: Mathematical Physics Studies, . 0921-3767