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

✍ Scribed by Mohamed Benarous

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
208 KB
Volume
264
Category
Article
ISSN
0003-4916

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✦ Synopsis

We analyze the Poisson structure of the time-dependent meanfield equations for condensed bosons and construct the Lie Poisson bracket associated to these equations. The latter follow from the time-dependent variational principle of Balian and Ve ne roni 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 canonically conjugate variables. In certain cases, the evolution equations can indeed be cast in a Hamiltonian form.

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