Mathematical Appearance
We venture on to explore the various roles taken on by the magnetic vector potential in the mathematical description of light and electromagnetic interactions in general. Starting from the relations of the electric and magnetic field to the corresponding
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A Treatise on the Magnetic Vector Potential
A Treatise on the Magnetic Vector Potential
Kristján Óttar Klausen
A Treatise on the Magnetic Vector Potential
123
Kristján Óttar Klausen Reykjavík University Reykjavik, Iceland
ISBN 978-3-030-52221-6 ISBN 978-3-030-52222-3 https://doi.org/10.1007/978-3-030-52222-3
(eBook)
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To the essence of both student and teacher; the spark of curiosity igniting the wonderful guiding force of inspiration.
Foreword by Viðar Guðmundsson
At the University of Iceland, where I have taught various physics courses, the physics students first encounter the electromagnetic vector potential in the second year. This first encounter is rather superficial, but hopefully the best students realize that the potentials at least offer a convenient method to derive the electric and the magnetic fields in many different situations. As Green functions are not introduced at the same time I am not sure if the majority of students really understands this, and a real understanding of the gauge freedom is far away. Luckily, there are sometimes students, who question the role of the potentials and want to learn more about them. Most often this is coupled to their interest in quantum mechanics. Kristján Klausen is the only student I have had in my class who, very soon after the introduction of the vector potential, came to my office with questions if I knew about systems that could lead to a vector potential with certain properties I had not thought of before. I must admit that initially I was not sure why he was asking these questions. I even wondered if some of the questions came from non-scientific l
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