Derivation of the Schrödinger-Poisson equation from the quantum N-body problem
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.
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Journal Article
| Published
| English
Scopus indexed
Author
Bardos, Claude;
Erdös, LászlóISTA 
;
Golse, François;
Mauser, Norbert;
Yau, Horng
;
Golse, François;
Mauser, Norbert;
Yau, HorngAbstract
We derive the time-dependent Schrödinger–Poisson equation as the weak coupling limit of the N-body linear Schrödinger equation with Coulomb potential.
Publishing Year
Date Published
2002-03-30
Journal Title
Comptes Rendus Mathematique
Publisher
Elsevier
Acknowledgement
The authors thank the ESI in Vienna and the Austrian START project “Nonlinear Schrödinger
and quantum Boltzmann equations” of N.J.M. for hospitality and support. Also, F.G. was supported by the Institut
Universitaire de France and N.J.M. by the bilateral Austrian-French “AMADEUS” programme. H.-T.Y. and L.E. were
supported by NSF Grants DMS-0072098 and DMS-9970323, respectively
Volume
334
Issue
6
Page
515 - 520
ISSN
IST-REx-ID
Cite this
Bardos C, Erdös L, Golse F, Mauser N, Yau H. Derivation of the Schrödinger-Poisson equation from the quantum N-body problem. Comptes Rendus Mathematique. 2002;334(6):515-520. doi:10.1016/S1631-073X(02)02253-7
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. Elsevier. https://doi.org/10.1016/S1631-073X(02)02253-7
Bardos, Claude, László Erdös, François Golse, Norbert Mauser, and Horng Yau. “Derivation of the Schrödinger-Poisson Equation from the Quantum N-Body Problem.” Comptes Rendus Mathematique. Elsevier, 2002. https://doi.org/10.1016/S1631-073X(02)02253-7.
C. Bardos, L. Erdös, F. Golse, N. Mauser, and H. Yau, “Derivation of the Schrödinger-Poisson equation from the quantum N-body problem,” Comptes Rendus Mathematique, vol. 334, no. 6. Elsevier, pp. 515–520, 2002.
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.
Bardos, Claude, et al. “Derivation of the Schrödinger-Poisson Equation from the Quantum N-Body Problem.” Comptes Rendus Mathematique, vol. 334, no. 6, Elsevier, 2002, pp. 515–20, doi:10.1016/S1631-073X(02)02253-7.
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