Self-consistent RPA based on a many-body vacuum |
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| Authors: | M Jemaï P Schuck |
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| Institution: | 1.Département de Physique, Faculté des Sciences de Tunis,Université de Tunis El-Manar,Tunis,Tunisie;2.Institut de Physique Nucléaire d’Orsay,Université Paris-Sud, CNRS-IN2P3 15,Orsay Cedex,France;3.Laboratoire de Physique et Modélisation des Milieux Condensés (LPMMC) (UMR 5493),Maison Jean Perrin,Grenoble Cedex 9,France |
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| Abstract: | Self-Consistent RPA is extended in a way so that it is compatible with a variational ansatz for the ground-state wave function
as a fermionic many-body vacuum. Employing the usual equation-of-motion technique, we arrive at extended RPA equations of
the Self-Consistent RPA structure. In principle the Pauli principle is, therefore, fully respected. However, the correlation
functions entering the RPA matrix can only be obtained from a systematic expansion in powers of some combinations of RPA amplitudes.
We demonstrate for a model case that this expansion may converge rapidly. |
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