Quaternionic Hamilton equations

Abstract

The classical Hamilton equations are reinterpreted by means of complex analysis, in a non standard way. This suggests a natural extension of the Hamilton equations to the quaternionic case, extension which coincides with the one introduced in [math-ph/0204019] by a completely different approach.

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References in corpus (1)

• On Foundation of the Generalized Nambu Mechanics

Cited by in corpus (8)

• Hyperhamiltonian dynamics
• A variational principle for volume-preserving dynamics
• Quaternionic integrable systems
• Structure preserving transformations in hyperkahler Euclidean spaces
• Canonical transformations for hyperkahler structures and hyperhamiltonian dynamics
• Symmetry and quaternionic integrable systems
• Volume preserving bi-Lipschitz homeomorphisms on the Heisenberg group
• Hyper-Hamiltonian quantum mechanics