Derivation of the nonlinear Schrödinger equation from a many body Coulomb system

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dc.creatorErdos, Laszlo
dc.creatorYau, Horng-Tzer
dc.date2001-11-22
dc.date2002-05-22
dc.date.accessioned2026-07-07T04:28:47Z
dc.date.available2026-07-07T04:28:47Z
dc.descriptionWe consider the time evolution of N bosonic particles interacting via a mean field Coulomb potential. Suppose the initial state is a product wavefunction. We show that at any finite time the correlation functions factorize in the limit $N \to \infty$. Furthermore, the limiting one particle density matrix satisfies the nonlinear Hartree equation. The key ingredients are the uniqueness of the BBGKY hierarchy for the correlation functions and a new apriori estimate for the many-body Schrödinger equations.
dc.description35 pages, latex
dc.identifierhttps://arxiv.org/abs/math-ph/0111042
dc.identifierhttp://arxiv.org/abs/math-ph/0111042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56920
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject35Q55, 45F15, 81Q05, 81V70
dc.titleDerivation of the nonlinear Schrödinger equation from a many body Coulomb system
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