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- W4386432015 abstract "Nuclear physics is ideal to test and develop techniques to describe the microscopic dynamics of quantum many-body systems. At low energy, nuclear dynamics is described with non-relativistic approaches based on the mean-field approximation and its extensions. Variational principles based on the stationarity of the action are introduced to build theoretical models with different levels of approximation. In particular, the time-dependent Hartree-Fock (TDHF) equation for mean-field dynamics and its linear approximation, also known as the Random-Phase Approximation (RPA), are derived. Predictions of vibrational spectra at the RPA level are presented as an application. The inclusion of beyond TDHF correlations and fluctuations are then discussed. In particular, pairing correlations are treated at the BCS and Bogoliubov levels. The Balian-Vénéroni variational principle is finally introduced. In addition to providing some insight into mean-field limitations, it offers a possibility to incorporate quantum fluctuations of one-body observables with the time-dependent RPA formalism." @default.
- W4386432015 created "2023-09-05" @default.
- W4386432015 creator A5083759542 @default.
- W4386432015 date "2023-01-01" @default.
- W4386432015 modified "2023-09-30" @default.
- W4386432015 title "Quantum Microscopic Dynamical Approaches" @default.
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- W4386432015 doi "https://doi.org/10.1007/978-981-19-6345-2_19" @default.
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