{"issue":"6","oa_version":"Published Version","extern":"1","day":"01","main_file_link":[{"url":"http://arxiv.org/abs/math-ph/0111042","open_access":"1"}],"publication_status":"published","scopus_import":"1","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","publication_identifier":{"issn":["1095-0761"]},"oa":1,"publisher":"International Press","citation":{"chicago":"Erdös, László, and Horng Yau. “Derivation of the Nonlinear Schrödinger Equation from a Many Body Coulomb System.” *Advances in Theoretical and Mathematical Physics*. International Press, 2001. https://doi.org/10.48550/arXiv.math-ph/0111042.","ista":"Erdös L, Yau H. 2001. Derivation of the nonlinear Schrödinger equation from a many body Coulomb system. Advances in Theoretical and Mathematical Physics. 5(6), 1169–1205.","short":"L. Erdös, H. Yau, Advances in Theoretical and Mathematical Physics 5 (2001) 1169–1205.","apa":"Erdös, L., & Yau, H. (2001). Derivation of the nonlinear Schrödinger equation from a many body Coulomb system. *Advances in Theoretical and Mathematical Physics*. International Press. https://doi.org/10.48550/arXiv.math-ph/0111042","ieee":"L. Erdös and H. Yau, “Derivation of the nonlinear Schrödinger equation from a many body Coulomb system,” *Advances in Theoretical and Mathematical Physics*, vol. 5, no. 6. International Press, pp. 1169–1205, 2001.","ama":"Erdös L, Yau H. Derivation of the nonlinear Schrödinger equation from a many body Coulomb system. *Advances in Theoretical and Mathematical Physics*. 2001;5(6):1169-1205. doi:10.48550/arXiv.math-ph/0111042","mla":"Erdös, László, and Horng Yau. “Derivation of the Nonlinear Schrödinger Equation from a Many Body Coulomb System.” *Advances in Theoretical and Mathematical Physics*, vol. 5, no. 6, International Press, 2001, pp. 1169–205, doi:10.48550/arXiv.math-ph/0111042."},"external_id":{"arxiv":["math-ph/0111042"]},"date_published":"2001-11-01T00:00:00Z","intvolume":" 5","title":"Derivation of the nonlinear Schrödinger equation from a many body Coulomb system","language":[{"iso":"eng"}],"date_created":"2018-12-11T11:59:20Z","author":[{"first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László","last_name":"Erdös","orcid":"0000-0001-5366-9603"},{"last_name":"Yau","full_name":"Yau, Horng","first_name":"Horng"}],"year":"2001","status":"public","_id":"2736","type":"journal_article","date_updated":"2023-05-16T12:12:41Z","publication":"Advances in Theoretical and Mathematical Physics","month":"11","publist_id":"4156","article_type":"original","volume":5,"quality_controlled":"1","doi":"10.48550/arXiv.math-ph/0111042","article_processing_charge":"No","abstract":[{"text":"We consider the time evolution of N bosonic particles interacting via a mean field Coulomb potential. Suppose the initial state is a product wavefunction. We show that at any finite time the correlation functions factorize in the limit N → ∞. Furthermore, the limiting one particle density matrix satisfies the nonlinear Hartree equation. The key ingredients are the uniqueness of the BBGKY hierarchy for the correlation functions and a new apriori estimate for the many-body Schrödinger equations.","lang":"eng"}],"page":"1169 - 1205"}