## 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
Full Text:

### References:

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.
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