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Correlations and Fluctuations in Static and Dynamic Mean-field Approaches by Roger Balian; Marcel Vénéroni is a Physics and Astronomy article available to read on EtoBox.

What is Correlations and Fluctuations in Static and Dynamic Mean-field Approaches about?

A consistent approximation is proposed to treat the following general problem. Let the state of a many-body system at an initial time be specitied, completely or partly; find the expectation values, correlations, and fluctuations of single-particle observables at a later time. To this aim the characteristic function of these observables is optimized. within a general variational scheme. The trial objects are akin to an initial density operator, to a timedependent one, and to a time-dependent operator associated with the observables of interest. We take an independent-particle form for the trial density operators and a similar ansatz for the trial operators. The variational equations couple the (approximate) initial conditions with the (approximate) evolutions of the operator and of the state. The expansion of the optimal characteristic function provides the same results as the conventional mean-field approaches for the thermodynamic potentials and the expectation values: for fermions the best initial state is then the Hartree-Fock (HF) solution and the evolution is described by the time-dependent Hartree-Fock (TDHF) equation. However, these approximations become inadequate for corr

Who reads Correlations and Fluctuations in Static and Dynamic Mean-field Approaches?

It is typically read by researchers, students, and practitioners in Physics and Astronomy.

Author
Roger Balian; Marcel Vénéroni
Publisher
Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0003-4916)
Published
1992
Language
EN
Field
Physics and Astronomy (Physical Sciences)

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