Lectures on Hyperhamiltonian Dynamics and Physical Applications

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 sy...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Gaeta, Giuseppe (Συγγραφέας), Rodríguez, Miguel A. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
Σειρά:Mathematical Physics Studies,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Gaeta, Giuseppe.  |e author. 
245 1 0 |a Lectures on Hyperhamiltonian Dynamics and Physical Applications  |h [electronic resource] /  |c by Giuseppe Gaeta, Miguel A. Rodríguez. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2017. 
300 |a XV, 182 p.  |b online resource. 
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490 1 |a Mathematical Physics Studies,  |x 0921-3767 
505 0 |a 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. 
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 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. 
650 0 |a Physics. 
650 0 |a Mathematical physics. 
650 0 |a Quantum physics. 
650 1 4 |a Physics. 
650 2 4 |a Mathematical Methods in Physics. 
650 2 4 |a Applied and Technical Physics. 
650 2 4 |a Quantum Physics. 
650 2 4 |a Mathematical Physics. 
650 2 4 |a Classical Mechanics. 
700 1 |a Rodríguez, Miguel A.  |e author. 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783319543574 
830 0 |a Mathematical Physics Studies,  |x 0921-3767 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-54358-1  |z Full Text via HEAL-Link 
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