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

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

### 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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