Quaternionic Hamilton equations

2002/04/09 by Paola Morando, P. Morando, Morando, P. +3
Mathematics · Physics and Astronomy · #30G35 #70H05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #math-ph #math.DS #math.MP #msc:30G35 #msc:70H05

paper · pdf · doi:10.48550/arxiv.math-ph/0204021

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openalex publication_date 2002/04/09 · arxiv created 2002/07/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Generalized Hamiltonian Dynamics

Related

• Quaternionic analysis
• The physical heritage of Sir W.R. Hamilton
• The Tragic Downfall and Peculiar Revival of Quaternions
• A Brief History of Quaternions and of the Theory of Holomorphic Functions of Quaternionic Variables
• Hamiltonian Mechanics on Quaternion Kaehler Manifolds