منابع مشابه
Occupation numbers in Self Consistent RPA
A method is proposed which allows to calculate within the SCRPA theory the occupation numbers via the single particle Green function. This scheme complies with the Hugenholtz van Hove theorem. In an application to the Lipkin model it is found that this prescription gives consistently better results than two other commonly used approximations: lowest order boson expansion and the number operator...
متن کاملSelf-consistent Green’s function and RPA studies of nuclei
where E PT is the contribution to the total binding energy in second order perturbation theory. A perturbative expansion of the RPA equations shows that (i) the sum in Eq. (1) must also include charge exchange modes and (ii) E PT is double counted and must be subtracted [3]. This leads to an improved description of the binding energies of most closed shell nuclei, up to Pb, as shown in Fig. 1 [...
متن کاملStatic correlation and electron localization in molecular dimers from the self-consistent RPA and GW approximation
Maria Hellgren, Fabio Caruso, Daniel R. Rohr, Xinguo Ren, Angel Rubio, Matthias Scheffler, and Patrick Rinke International School for Advanced Studies (SISSA), via Bonomea 265, 34136 Trieste, Italy Physics and Materials Science Research Unit, University of Luxembourg, 162a avenue de la Faı̈encerie, L-1511 Luxembourg, Luxembourg Department of Materials, University of Oxford, Parks Road, Oxford OX...
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The Pauli exclusion principle is a constraint on the natural occupation numbers of fermionic states. It has been suspected since at least the 1970s, and only proved very recently, that there is a multitude of further constraints on these numbers, generalizing the Pauli principle. Here, we provide the first analytic analysis of the physical relevance of these constraints. We compute the natural ...
متن کاملFully Self-consistent RPA description of the many level pairing model
The Self-Consistent RPA (SCRPA) equations in the particle-particle channel are solved without any approximation for the picket fence model. The results are in excellent agreement with the exact solutions found with the Richardson method. Particularly interesting features are that screening corrections reverse the sign of the interaction and that SCRPA yields the exact energies in the case of tw...
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ژورنال
عنوان ژورنال: The European Physical Journal A
سال: 2000
ISSN: 1434-6001,1434-601X
DOI: 10.1007/s100500050376