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Godby, “Diagrammatic self-energy approximations and the total particle number,” <i>Physical Review B</i>, vol. 64, no. 23, Art. no. 235106, 2001, doi: <a href=\"https://doi.org/10.1103/PhysRevB.64.235106\">10.1103/PhysRevB.64.235106</a>.","apa":"Schindlmayr, A., García-González, P., &#38; Godby, R. W. (2001). Diagrammatic self-energy approximations and the total particle number. <i>Physical Review B</i>, <i>64</i>(23), Article 235106. <a href=\"https://doi.org/10.1103/PhysRevB.64.235106\">https://doi.org/10.1103/PhysRevB.64.235106</a>","bibtex":"@article{Schindlmayr_García-González_Godby_2001, title={Diagrammatic self-energy approximations and the total particle number}, volume={64}, DOI={<a href=\"https://doi.org/10.1103/PhysRevB.64.235106\">10.1103/PhysRevB.64.235106</a>}, number={23235106}, journal={Physical Review B}, publisher={American Physical Society}, author={Schindlmayr, Arno and García-González, Pablo and Godby, Rex William}, year={2001} }","ama":"Schindlmayr A, García-González P, Godby RW. Diagrammatic self-energy approximations and the total particle number. <i>Physical Review B</i>. 2001;64(23). doi:<a href=\"https://doi.org/10.1103/PhysRevB.64.235106\">10.1103/PhysRevB.64.235106</a>","mla":"Schindlmayr, Arno, et al. “Diagrammatic Self-Energy Approximations and the Total Particle Number.” <i>Physical Review B</i>, vol. 64, no. 23, 235106, American Physical Society, 2001, doi:<a href=\"https://doi.org/10.1103/PhysRevB.64.235106\">10.1103/PhysRevB.64.235106</a>."},"quality_controlled":"1","article_number":"235106","language":[{"iso":"eng"}],"doi":"10.1103/PhysRevB.64.235106","year":"2001","title":"Diagrammatic self-energy approximations and the total particle number","publication_identifier":{"eissn":["1095-3795"],"issn":["0163-1829"]},"author":[{"orcid":"0000-0002-4855-071X","last_name":"Schindlmayr","first_name":"Arno","full_name":"Schindlmayr, Arno","id":"458"},{"last_name":"García-González","first_name":"Pablo","full_name":"García-González, Pablo"},{"last_name":"Godby","first_name":"Rex William","full_name":"Godby, Rex William"}],"publication_status":"published","date_updated":"2022-11-11T06:54:19Z","article_type":"original","intvolume":"        64","file":[{"description":"© 2001 American Physical Society","date_created":"2020-08-28T21:29:32Z","creator":"schindlm","title":"Diagrammatic self-energy approximations and the total particle number","content_type":"application/pdf","file_id":"18613","date_updated":"2020-08-30T16:15:45Z","relation":"main_file","file_size":90160,"access_level":"open_access","file_name":"PhysRevB.64.235106.pdf"}],"date_created":"2020-08-28T21:21:29Z","type":"journal_article","publication":"Physical Review B","issue":"23","extern":"1","abstract":[{"text":"There is increasing interest in many-body perturbation theory as a practical tool for the calculation of ground-state properties. As a consequence, unambiguous sum rules such as the conservation of particle number under the influence of the Coulomb interaction have acquired an importance that did not exist for calculations of excited-state properties. In this paper we obtain a rigorous, simple relation whose fulfilment guarantees particle-number conservation in a given diagrammatic self-energy approximation. Hedin’s G0W0 approximation does not satisfy this relation and hence violates the particle-number sum rule. Very precise calculations for the homogeneous electron gas and a model inhomogeneous electron system allow the extent of the nonconservation to be estimated.","lang":"eng"}]}]