The Mathematics of Charged Particles interacting with Electromagnetic Fields
Publikation: Bog/antologi/afhandling/rapport › Ph.d.-afhandling › Forskning
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The Mathematics of Charged Particles interacting with Electromagnetic Fields. / Petersen, Kim.
Department of Mathematical Sciences, Faculty of Science, University of Copenhagen, 2013.Publikation: Bog/antologi/afhandling/rapport › Ph.d.-afhandling › Forskning
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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://soeg.kb.dk/permalink/45KBDK_KGL/fbp0ps/alma99122304745005763
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 -
ID: 113048108