The Mathematics of Charged Particles interacting with Electromagnetic Fields
Publikation: Bog/antologi/afhandling/rapport › Ph.d.-afhandling › Forskning
In this thesis, we study the mathematics used to describe systems of charged quantum mechanical particles coupled with their classical self-generated electromagnetic field. We prove the existence of a unique local in time solution to the many-body Maxwell-Schrödinger initial value problem expressed in Coulomb gauge and we show that the one-body Maxwell-Schrödinger system as well as the related one-body Maxwell-Pauli system both admit travelling wave solutions.
Originalsprog | Engelsk |
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Forlag | Department of Mathematical Sciences, Faculty of Science, University of Copenhagen |
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ISBN (Trykt) | 978-87-7078-979-0 |
Status | Udgivet - 2013 |
ID: 113048108