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A Treatise on the Magnetic Vector Potential

  • 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

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xix
  2. Introduction

    • Kristján Óttar Klausen
    Pages 1-2
  3. Conceptual Emergence

    • Kristján Óttar Klausen
    Pages 3-27
  4. Mathematical Appearance

    • Kristján Óttar Klausen
    Pages 29-42
  5. Three Dimensional Solutions

    • Kristján Óttar Klausen
    Pages 43-55
  6. Theory of Superconductivity

    • Kristján Óttar Klausen
    Pages 57-90
  7. Applications and Analogies

    • Kristján Óttar Klausen
    Pages 91-110
  8. Final Words

    • Kristján Óttar Klausen
    Pages 111-112
  9. Back Matter

    Pages 113-116

About this book

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.

Authors and Affiliations

  • Reykjavík University, Reykjavik, Iceland

    Kristján Óttar Klausen

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.

Bibliographic Information

  • Book Title: A Treatise on the Magnetic Vector Potential

  • Authors: Kristján Óttar Klausen

  • DOI: https://doi.org/10.1007/978-3-030-52222-3

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-52221-6Published: 26 August 2020

  • eBook ISBN: 978-3-030-52222-3Published: 25 August 2020

  • Edition Number: 1

  • Number of Pages: XIX, 116

  • Number of Illustrations: 20 b/w illustrations, 36 illustrations in colour

  • Topics: Classical Electrodynamics, Optics, Lasers, Photonics, Optical Devices

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 69.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access