We introduce an extension of Hamiltonian dynamics, defined on hyper-Kahler manifolds, which we call ‘hyperHamiltonian dynamics’. We show that this has many of the attractive features of standard Hamiltonian dynamics. We also discuss the prototypical integrable hyper-Hamiltonian systems, i.e. quaternionic oscillators.
Hyper-Hamiltonian dynamics / G. Gaeta, P. Morando. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 35:17(2002), pp. 3925-3943.
Hyper-Hamiltonian dynamics
G. GaetaPrimo
;P. MorandoUltimo
2002
Abstract
We introduce an extension of Hamiltonian dynamics, defined on hyper-Kahler manifolds, which we call ‘hyperHamiltonian dynamics’. We show that this has many of the attractive features of standard Hamiltonian dynamics. We also discuss the prototypical integrable hyper-Hamiltonian systems, i.e. quaternionic oscillators.
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