Quaternionic integrable systems

Details Quaternionic integrable systems Quaternionic integrable systems

2002-09-25

arxiv.org/abs/math-ph/0209056v1

Physics

Mathematical Physics

10 pages. To appear in the proceedings of the SPT2002 conference, edited by S. Abenda, G. Gaeta and S. Walcher, World Scientif

Scientific paper

Standard (Arnold-Liouville) integrable systems are intimately related to
complex rotations. One can define a generalization of these, sharing many of
their properties, where complex rotations are replaced by quaternionic ones.
Actually this extension is not limited to the integrable case: one can define a
generalization of Hamilton dynamics based on hyperKahler structures.

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