When are vector fields Hamiltonian?

P. Crehan

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arXiv · chao-dyn/9412010

When are vector fields Hamiltonian?

P. Crehan

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Abstract

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.

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P. Crehan. 1994-12-17. When are vector fields Hamiltonian?. https://arxiv.org/abs/chao-dyn/9412010

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