Lectures on Hyperhamiltonian Dynamics and Physical Applications - Giuseppe Gaeta

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Résumé :
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 hyperk?hler one (thus there are three K?hler/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.

Biographie:
Giuseppe Gaeta is currently Professor of Mathematical Physics at the Universit? degli Studi di Milano, Milan, Italy. Professor Gaeta studied Physics in Rome and subsequently held research or teaching positions in CRM, Montreal (Canada)...

Sommaire:

Giuseppe Gaeta is currently Professor of Mathematical Physics at the Universit? degli Studi di Milano, Milan, Italy. Professor Gaeta studied Physics in Rome and subsequently held research or teaching positions in CRM, Montreal (Canada)...