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Sum rules in extended RPA theories
Affiliation:1. REQUIMTE/LAQV & Department of Chemistry and Biochemistry, Faculty of Sciences, University of Porto, 4169-007 Porto, Portugal;2. Department of Chemistry, CICECO - Aveiro Institute of Materials, University of Aveiro, Campus Universitário de Santiago, 3810-193 Aveiro, Portugal;3. CCMar, Department of Chemistry and Pharmacy, FCT, University of the Algarve, P-8005-039 Faro, Portugal;4. Galp, Refinaria de Matosinhos, 4452-852 Leça da Palmeira, Matosinhos, Portugal
Abstract:Different moments mk of the excitation strength function are studied in the framework of the second RPA and of the extended RPA in which 2p2h correlations are explicitly introduced into the ground state by using first-order perturbation theory. Formal properties of the equations of motion concerning sum rules are derived and compared with those exhibited by the usual Ip1h RPA. The problem of the separation of the spurious solutions in extended RPA calculations is also discussed.
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