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Bardos, Claude; Erdős, Laszlo; Golse, François; Mauser, Norbert; Yau, Horng-Tzer

Derivation of the Schrödinger-Poisson equation from the quantum \(N\)-body problem. (English. Abridged French version) Zbl 1018.81009

C. R., Math., Acad. Sci. Paris 334, No. 6, 515-520 (2002).
Summary: We derive the time-dependent Schrödinger-Poisson equation as the weak coupling limit of the \(N\)-body linear Schrödinger equation with Coulomb potential.

Cited in 58 Documents

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
82B44 Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics
35J10 Schrödinger operator, Schrödinger equation

Keywords:

weak coupling limit; Coulomb potential
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References:

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