When are vector fields Hamiltonian?
Abstract
Description
Dynamical systems can be quantised only if they are Hamiltonian. This prompts the question from which our talk gets its title. We show how the simple predator-prey equation and the damped harmonic oscillator can be considered to be Hamiltonian with respect to an infinite number of non-standard Poisson brackets. This raises some interesting questions about the nature of quantisation. Questions which are valid even for flows which possess a canonical structure.
4 pages standard LaTeX. To appear in proceedings of International Conference on Chaos and Dyamical Systems - Tokyo Metropolitain University 23rd-27th May 1994. To be published in Advanced Series in Dynamical Systems of World Scientific
4 pages standard LaTeX. To appear in proceedings of International Conference on Chaos and Dyamical Systems - Tokyo Metropolitain University 23rd-27th May 1994. To be published in Advanced Series in Dynamical Systems of World Scientific