Large amplitude collective dynamic beyond the independent particle/quasiparticle picture

Abstract : In the present note, a summary of selected aspects of time-dependent mean-field theory is first recalled. This approach is optimized to describe one-body degrees of freedom. A special focus is made on how this microscopic theory can be reduced to a macroscopic dynamic for a selected set of collective variables. Important physical phenomena like adiabaticity/diabaticity, one-body dissipation or memory effect are discussed. Special aspects related to the use of a time-dependent density functional instead of a time-dependent Hartree-Fock theory based on a bare hamiltonian are underlined. The absence of proper description of complex internal correlations however strongly impacts the predictive power of mean-field. A brief overview of theories going beyond the independent particles/quasi-particles theory is given. Then, a special attention is paid for finite fermionic systems at low internal excitation. In that case, quantum fluctuations in collective space that are poorly treated at the mean-field level, are important. Several approaches going beyond mean-field, that are anticipated to improve the description of quantum fluctuations, are discussed: the Balian-V\'en\'eroni variational principle, the Time-Dependent Random Phase Approximation and the recently proposed Stochastic Mean-Field theory. Relations between these theories are underlined as well as their advantages and shortcomings.
Type de document :
Pré-publication, Document de travail
To be published in the ebook "Progress of time-dependent nuclear reaction theory" honoring Prof. .. 2015
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http://hal.in2p3.fr/in2p3-01157217
Contributeur : Sophie Heurteau <>
Soumis le : mercredi 27 mai 2015 - 17:34:55
Dernière modification le : jeudi 11 janvier 2018 - 06:12:40

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  • HAL Id : in2p3-01157217, version 1
  • ARXIV : 1504.01499

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D. Lacroix. Large amplitude collective dynamic beyond the independent particle/quasiparticle picture. To be published in the ebook "Progress of time-dependent nuclear reaction theory" honoring Prof. .. 2015. 〈in2p3-01157217〉

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