14 citations · 17 across the 4 of their papers we have counts for
6 papers
On the Convergence to a Statistical Equilibrium for the Dirac Equation
T. V. Dudnikova, A. I. Komech, N. J. Mauser
We consider the Dirac equation in with constant coefficients and study the distribution of the random solution at time . It is assumed that the initial measure…
(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…
Accuracy of the time-dependent Hartree-Fock approximation
Claude Bardos, Francois Golse, Alex D. Gottlieb +1
This article examines the time-dependent Hartree-Fock (TDHF) approximation of single-particle dynamics in systems of interacting fermions. We find the TDHF approximation to be accu…
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…
Wigner Functions versus WKB-Methods in Multivalued Geometrical Optics
Christof Sparber, Peter A. Markowich, Norbert J. Mauser
We consider the Cauchy-problem for a class of scalar linear dispersive equations with rapidly oscillating initial data. The problem of high-frequency asymptotics of such models is…