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

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)

12 pages Tex

References in corpus (1)

• On the Poisson Structure of the Time-Dependent Mean-Field Equations for Systems of Bosons out of Equilibrium

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