Concepedia

Derivation of the Schrödinger–Poisson equation from the quantum <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>𝐍</mml:mi> </mml:math> -body problem

Claude Bardos, László Erdős, François Golse, Norbert J. Mauser, Horng‐Tzer Yau

Comptes Rendus Mathématique · 2002 · 107 citations · 9 references

DOI

Concepts

Abstract

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

References

9

Kinetic equations from Hamiltonian dynamics: Markovian limits

Herbert Spohn · Reviews of Modern Physics · 1980 · 1K citations

, , +12

The classical limit for quantum mechanical correlation functions

K. Hepp · Communications in Mathematical Physics · 1974 · 557 citations

, , +13

Fundamental properties of Hamiltonian operators of Schrödinger type

Tosio Kato · Transactions of the American Mathematical Society · 1951 · 371 citations · Full text

, , +16

A note on a theorem of Nirenberg

Takaaki Nishida · Journal of Differential Geometry · 1977 · 237 citations

, , +4

The classical field limit of scattering theory for non-relativistic many-boson systems. II

J. Ginibre, G. Velo · Communications in Mathematical Physics · 1979 · 186 citations

, , +13