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 densi
The Poisson Structure of the Mean-Field Equations in theΦ4Theory
✍ Scribed by Cécile Martin
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 113 KB
- Volume
- 271
- Category
- Article
- ISSN
- 0003-4916
No coin nor oath required. For personal study only.
✦ Synopsis
We show that the mean-field time-dependent equations in the 8 4 theory can be put into a classical noncanonical 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.
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