---
_id: '2737'
abstract:
- lang: eng
  text: We derive the time-dependent Schrödinger–Poisson equation as the weak coupling
    limit of the N-body linear Schrödinger equation with Coulomb potential.
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
article_type: original
author:
- first_name: Claude
  full_name: Bardos, Claude
  last_name: Bardos
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: François
  full_name: Golse, François
  last_name: Golse
- first_name: Norbert
  full_name: Mauser, Norbert
  last_name: Mauser
- first_name: Horng
  full_name: Yau, Horng
  last_name: Yau
citation:
  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>
  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>
  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>.
  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.
  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.
  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>.
  short: C. Bardos, L. Erdös, F. Golse, N. Mauser, H. Yau, Comptes Rendus Mathematique
    334 (2002) 515–520.
date_created: 2018-12-11T11:59:20Z
date_published: 2002-03-30T00:00:00Z
date_updated: 2023-07-18T09:24:24Z
day: '30'
doi: 10.1016/S1631-073X(02)02253-7
extern: '1'
intvolume: '       334'
issue: '6'
language:
- iso: eng
month: '03'
oa_version: None
page: 515 - 520
publication: Comptes Rendus Mathematique
publication_identifier:
  issn:
  - 1631-073X
publication_status: published
publisher: Elsevier
publist_id: '4155'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Derivation of the Schrödinger-Poisson equation from the quantum N-body problem
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 334
year: '2002'
...