The H4 model revisited within the framework of the G-particle-hole Hypervirial equation

In this paper we report the results obtained when calculating the electronic structure of the H 4 molecular system within the framework of the G-particle-hole Hypervirial equation (GHV). This method determines directly the G-particle-hole matrix of the state considered without a previous knowledge of the wave-function. Our primary aim is to compare the GHV performance with that of other standard ab initio methods having as ultimate reference the FCI results, when the system considered is strongly correlated. © 2011 Elsevier B.V. All rights reserved.This work has been financially supported by the Spanish Ministerio de Educación y Ciencia under project FIS2007-62006, by the Universidad de Buenos Aires under projects X-017 and X-079 and Argentine Consejo Nacional de Investigaciones Científicas y Técnicas under project PIP No. 11220090100061. Financial support from the Spanish Dirección General de Universidades e Investigación de la Comunidad de Madrid under Grant No. S2009/ESP/1691 and Program MODELICO-CM and from projects LIMA and N4E (European Comission FP7-ICT-2009-4-248909-LIMA and FP7-ICT-2009-4-248855-N4E) is also acknowledged.Peer Reviewe