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19982005
most citedLong range scattering for some Schr"odinger related nonlinear systems

10 citations · 19 across the 8 of their papers we have counts for

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5 papers · 1 filter

math.AP200410 cited

Long range scattering for some Schr"odinger related nonlinear systems

J. Ginibre, G. Velo

We review some recent results on the theory of scattering and more precisely on the local Cauchy problem at infinity in time for some long range nonlinear systems including some fo…

math-ph2004

Partially classical limit of the Nelson model

J. Ginibre, F. Nironi, G. Velo

We consider the Nelson model which describes a quantum system of nonrelativistic identical particles coupled to a possibly massless scalar Bose field through a Yukawa type interact…

math.AP20041 cited

Long range scattering for the Wave-Schr"odinger system with large wave data and small Schr"odinger data

J. Ginibre, G. Velo

We study the theory of scattering for the Wave-Schr"odinger system with Yukawa type coupling in space dimension 3. We prove in particular the existence of modified wave operators f…

math.AP20042 cited

Long range scattering for the Maxwell-Schr"odinger system with large magnetic field data and small Schr"odinger data

J. Ginibre, G. Velo

We study the theory of scattering for the Maxwell-Schr"odinger system in the Coulomb gauge in space dimension 3. We prove in particular the existence of modified wave operators for…

math.AP20042 cited

Scattering Theory for the Schr"odinger Equation in some external time dependent magnetic fields

J. Ginibre, G. Velo

We study the theory of scattering for a Schr"odinger equation in an external time dependent magnetic field in the Coulomb gauge, in space dimension 3. The magnetic vector potential…