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.
Autorius: | Miguel A. Rodríguez, Giuseppe Gaeta, |
Serija: | Mathematical Physics Studies |
Leidėjas: | Springer Nature Switzerland |
Išleidimo metai: | 2018 |
Knygos puslapių skaičius: | 200 |
ISBN-10: | 3319853783 |
ISBN-13: | 9783319853789 |
Formatas: | 235 x 155 x 12 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „Lectures on Hyperhamiltonian Dynamics and Physical Applications“