14 citations · 17 across the 4 of their papers we have counts for
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(Semi)classical limit of the Hartree equation with harmonic potential
Remi Carles, Norbert Mauser, Hans Peter Stimming
Nonlinear Schrodinger Equations (NLS) of the Hartree type occur in the modeling of quantum semiconductor devices. Their "semiclassical" limit of vanishing (scaled) Planck constant…
On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit
Philippe Bechouche, Norbert J. Mauser, Sigmund Selberg
We deal with the ``nonrelativistic limit'', i.e. the limit c to infinity, where c is the speed of light, of the nonlinear PDE system obtained by coupling the Dirac equation for a 4…
Nonrelativistic limit of Klein-Gordon-Maxwell to Schrodinger-Poisson
Philippe Bechouche, Norbert Mauser, Sigmund Selberg
We prove that in the nonrelativistic limit, solutions of the Klein-Gordon-Maxwell system in 1+3 dimensions converge in the energy space to solutions of a Schrodinger-Poisson system…