Derivation of the Schrödinger-Poisson equation from the quantum N-body problem

Claude Bardos; Laszlo Erdös; François Golse; Norbert Mauser; Horng Tzer Yau

doi:10.1016/S1631-073X(02)02253-7

Derivation of the Schrödinger-Poisson equation from the quantum N-body problem

Claude Bardos
, Laszlo Erdös
, François Golse
, Norbert Mauser
, Horng Tzer Yau

Research output: Contribution to journal › Article › peer-review

Abstract

We derive the time-dependent Schrödinger-Poisson equation as the weak coupling limit of the N-body linear Schrödinger equation with Coulomb potential.

Translated title of the contribution	Justification de l'équation de Schrödinger-Poisson à partir du problème quantique à N corps
Original language	English
Pages (from-to)	515-520
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	334
Issue number	6
DOIs	https://doi.org/10.1016/S1631-073X(02)02253-7
Publication status	Published - 30 Mar 2002

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title = "Derivation of the Schr{\"o}dinger-Poisson equation from the quantum N-body problem",

abstract = "We derive the time-dependent Schr{\"o}dinger-Poisson equation as the weak coupling limit of the N-body linear Schr{\"o}dinger equation with Coulomb potential.",

author = "Claude Bardos and Laszlo Erd{\"o}s and Fran{\c c}ois Golse and Norbert Mauser and Yau, \{Horng Tzer\}",

year = "2002",

month = mar,

day = "30",

doi = "10.1016/S1631-073X(02)02253-7",

language = "English",

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AU - Bardos, Claude

AU - Erdös, Laszlo

AU - Golse, François

AU - Mauser, Norbert

AU - Yau, Horng Tzer

PY - 2002/3/30

Y1 - 2002/3/30

N2 - We derive the time-dependent Schrödinger-Poisson equation as the weak coupling limit of the N-body linear Schrödinger equation with Coulomb potential.

AB - We derive the time-dependent Schrödinger-Poisson equation as the weak coupling limit of the N-body linear Schrödinger equation with Coulomb potential.

U2 - 10.1016/S1631-073X(02)02253-7

DO - 10.1016/S1631-073X(02)02253-7

M3 - Article

AN - SCOPUS:0013499711

SN - 1631-073X

VL - 334

SP - 515

EP - 520

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 6

ER -

Derivation of the Schrödinger-Poisson equation from the quantum N-body problem

Abstract

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