Hyperhamiltonian dynamics

Details Hyperhamiltonian dynamics Hyperhamiltonian dynamics

2002-04-09

arxiv.org/abs/math-ph/0204019v1

J. Phys. A 35 (2002), 3925-3943

Physics

Mathematical Physics

24 pages; to appear in J. Phys. A

Scientific paper

10.1088/0305-4470/35/17/308

We introduce an extension of hamiltonian dynamics, defined on hyperkahler
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 hyperhamiltonian systems, i.e. quaternionic
oscillators.

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