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math-ph2014★ 1 cited
Existence of Travelling Wave Solutions to the Maxwell-Pauli and Maxwell-Schrödinger Systems
Kim Petersen, Jan Philip Solovej
We study two mathematical descriptions of a charged particle interacting with it's self-generated electromagnetic field. The first model is the one-body Maxwell-Schrödinger system…
math-ph2014★ 2 cited
Existence of a Unique Local Solution to the Many-body Maxwell-Schrödinger Initial Value Problem
Kim Petersen
We study the many-body problem of charged particles interacting with their self-generated electromagnetic field. We model the dynamics of the particles by the many-body Maxwell-Sch…