{"publist_id":"4155","intvolume":"       334","language":[{"iso":"eng"}],"scopus_import":"1","quality_controlled":"1","title":"Derivation of the Schrödinger-Poisson equation from the quantum N-body problem","issue":"6","oa_version":"None","article_type":"original","publisher":"Elsevier","year":"2002","day":"30","date_published":"2002-03-30T00:00:00Z","date_updated":"2023-07-18T09:24:24Z","volume":334,"extern":"1","type":"journal_article","publication_identifier":{"issn":["1631-073X"]},"_id":"2737","doi":"10.1016/S1631-073X(02)02253-7","author":[{"first_name":"Claude","full_name":"Bardos, Claude","last_name":"Bardos"},{"full_name":"Erdös, László","first_name":"László","orcid":"0000-0001-5366-9603","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Golse, François","first_name":"François","last_name":"Golse"},{"first_name":"Norbert","full_name":"Mauser, Norbert","last_name":"Mauser"},{"last_name":"Yau","first_name":"Horng","full_name":"Yau, Horng"}],"publication_status":"published","publication":"Comptes Rendus Mathematique","abstract":[{"text":"We derive the time-dependent Schrödinger–Poisson equation as the weak coupling limit of the N-body linear Schrödinger equation with Coulomb potential.","lang":"eng"}],"acknowledgement":"The authors thank the ESI in Vienna and the Austrian START project “Nonlinear Schrödinger\r\nand quantum Boltzmann equations” of N.J.M. for hospitality and support. Also, F.G. was supported by the Institut\r\nUniversitaire de France and N.J.M. by the bilateral Austrian-French “AMADEUS” programme. H.-T.Y. and L.E. were\r\nsupported by NSF Grants DMS-0072098 and DMS-9970323, respectively","article_processing_charge":"No","citation":{"chicago":"Bardos, Claude, László Erdös, François Golse, Norbert Mauser, and Horng Yau. “Derivation of the Schrödinger-Poisson Equation from the Quantum N-Body Problem.” <i>Comptes Rendus Mathematique</i>. Elsevier, 2002. <a href=\"https://doi.org/10.1016/S1631-073X(02)02253-7\">https://doi.org/10.1016/S1631-073X(02)02253-7</a>.","ista":"Bardos C, Erdös L, Golse F, Mauser N, Yau H. 2002. Derivation of the Schrödinger-Poisson equation from the quantum N-body problem. Comptes Rendus Mathematique. 334(6), 515–520.","apa":"Bardos, C., Erdös, L., Golse, F., Mauser, N., &#38; Yau, H. (2002). Derivation of the Schrödinger-Poisson equation from the quantum N-body problem. <i>Comptes Rendus Mathematique</i>. Elsevier. <a href=\"https://doi.org/10.1016/S1631-073X(02)02253-7\">https://doi.org/10.1016/S1631-073X(02)02253-7</a>","mla":"Bardos, Claude, et al. “Derivation of the Schrödinger-Poisson Equation from the Quantum N-Body Problem.” <i>Comptes Rendus Mathematique</i>, vol. 334, no. 6, Elsevier, 2002, pp. 515–20, doi:<a href=\"https://doi.org/10.1016/S1631-073X(02)02253-7\">10.1016/S1631-073X(02)02253-7</a>.","ama":"Bardos C, Erdös L, Golse F, Mauser N, Yau H. Derivation of the Schrödinger-Poisson equation from the quantum N-body problem. <i>Comptes Rendus Mathematique</i>. 2002;334(6):515-520. doi:<a href=\"https://doi.org/10.1016/S1631-073X(02)02253-7\">10.1016/S1631-073X(02)02253-7</a>","short":"C. Bardos, L. Erdös, F. Golse, N. Mauser, H. Yau, Comptes Rendus Mathematique 334 (2002) 515–520.","ieee":"C. Bardos, L. Erdös, F. Golse, N. Mauser, and H. Yau, “Derivation of the Schrödinger-Poisson equation from the quantum N-body problem,” <i>Comptes Rendus Mathematique</i>, vol. 334, no. 6. Elsevier, pp. 515–520, 2002."},"month":"03","date_created":"2018-12-11T11:59:20Z","status":"public","page":"515 - 520","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17"}