✦ LIBER ✦

Variational extension of the time-dependent mean-field approach

✍ Scribed by H Flocard

Publisher: Elsevier Science
Year: 1989
Tongue: English
Weight: 956 KB
Volume: 191
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(89)90323-0

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✦ Synopsis

We investigate an application of the variational principle of Balian and Venironi for density operators and observables. Our choice for the trial spaces incorporates correlations in the density operator. It allows one to calculate the expectation values of both one-body and twobody observables. We derive a set of coupled equations which extends the TDHF formalism and determines the evolution of the partition function, the one-body density, and the second cumulant (it corresponds also to a truncation of the quanta1 counterpart of the BBKGY equations). By restricting further the trial space for the two-body observables, the variational principle generates simpler equations which still include the effects of a selected class of correlations on the evolution of the one-body density.

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