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27 December 2024
 
  » arxiv » hep-th/9710054

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On the Poisson Structure of the Time-Dependent Mean-Field Equations for Systems of Bosons out of Equilibrium
Mohamed Benarous ;
Date 7 Oct 1997
Journal Annals Phys. 264 (1998) 1-12
Subject hep-th
AbstractWe analyze the Poisson structure of the time-dependent mean-field equations for bosons and construct the Lie-Poisson bracket associated to these equations. The latter follow from the time-dependent variational principle of Balian and Veneroni when a gaussian Ansatz is chosen for the density operator. We perform a stability analysis of both the full and the linearized equations. We also search for the canonically conjugate variables. In certain cases, the evolution equations can indeed be cast in a Hamiltonian form.
Source arXiv, hep-th/9710054
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