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The Poisson structure of the mean-field equations in the Phi^4 theory

Cecile Martin
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Abstract

We show that the mean-field time dependent equations in the Phi^4 theory can be put into a classical non-canonical hamiltonian framework with a Poisson structure which is a generalization of the standard Poisson bracket. The Heisenberg invariant appears as a structural invariant of the Poisson tensor. (To be pubished in Annals of Physics)

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Cecile Martin. 1998-09-14. The Poisson structure of the mean-field equations in the Phi^4 theory. https://doi.org/10.1006/aphy.1998.5875

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