A Treatise on the Magnetic Vector Potential

by Kristjïn ïttar Klausen

Overview

The connection between the electric and magnetic fields is fundamental to our understanding of light as electromagnetic waves. The magnetic vector potential lies at the heart of this relation. The idea emerged in the early days of research in electromagnetism but was dismissed for more than half a century until the formulation of quantum electrodynamics. The magnetic vector potential is a pivotal concept with ties to many aspects of physics and mathematics. This book unravels the nature of the magnetic vector potential, highlights its connection to quantum mechanics and superconductivity, and explores the analogy with hydrodynamics.

Product Details

ISBN-13:	9783030522216
Publisher:	Springer International Publishing
Publication date:	08/26/2020
Edition description:	1st ed. 2020
Pages:	116
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

Kristján Klausen gained a deep understanding of electromagnetic fields from conducting geophysical surveys in the wilderness of Iceland. Following his bachelors degree in geophysics, he delved deeper into ​the fundamentals of electromagnetism and wrote ​a master's thesis in physics education, which has become the basis for A Treatise on the Magnetic Vector Potential. Kristján is ​currently a doctoral candidate at Reykjavik University researching Majorana zero modes in nanowire systems for topological quantum computation.

Table of Contents

Introduction.- Conceptual emergence.- Mathematical appearance.- Three dimensional solutions.- Applications.- Hydrodynamics analogy.- Superconductivity.- Future directions.