TY - BOOK
T1 - The Mathematics of Charged Particles interacting with Electromagnetic Fields
AU - Petersen, Kim
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
UR - https://rex.kb.dk/primo-explore/fulldisplay?docid=KGL01009087000&context=L&vid=NUI&search_scope=KGL&tab=default_tab&lang=da_DK
M3 - Ph.D. thesis
SN - 978-87-7078-979-0
BT - The Mathematics of Charged Particles interacting with Electromagnetic Fields
PB - Department of Mathematical Sciences, Faculty of Science, University of Copenhagen
ER -