When are vector fields Hamiltonian?
chao-dyn
2008-02-03 v1 混沌动力学
摘要
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.
引用
@article{arxiv.chao-dyn/9412010,
title = {When are vector fields Hamiltonian?},
author = {P. Crehan},
journal= {arXiv preprint arXiv:chao-dyn/9412010},
year = {2008}
}
备注
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