most citedOn the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit

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math.AP2003★ 1 cited

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…

math.AP2002

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…