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.
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.
A clearly written summary of what is known about the concept of the magnetic vector potential and its versatile role in various areas of physics, in one concise volume A unique text putting the magnetic vector potential in the foreground of both historical and theoretical treatment of electromagnetism and its ties with quantum mechanics and superconductivity With rich elaboration of visual representations and analogies, this book will aid the reader in developing deep intuition about the magnetic vector potential
Kristján Óttar Klausen
Magnetic vector potential Magnetic potential Vector potential A-field Original Maxwell's equations Nature of light Nature of electricity Aharanov-Bohm effect potential London equations