We investigate the Dirac time-dependent variational method for a system of non-ideal Bosons interacting through an arbitrary two body potential. The method produces a set of non-linear time dependent equations for the variational parameters. In particular we have considered small oscillations about
Time-Dependent Variational Approach for Boson Systems
โ Scribed by Mohamed Benarous; Hubert Flocard
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 359 KB
- Volume
- 273
- Category
- Article
- ISSN
- 0003-4916
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โฆ Synopsis
Applying to boson systems the time-dependent variational principle of Balian and Ve ne roni, we derive approximate methods for calculating expectation values when both the measured observable and the density matrix are exponentials of quadratic forms of boson operators. In the zero-temperature limit, the variational equations provide a consistent way to evaluate transition probabilities.
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