Reconstruction of Macroscopic Maxwell Equations

A Single Susceptibility Theory

  • Kikuo Cho

Part of the Springer Tracts in Modern Physics book series (STMP, volume 237)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Kikuo Cho
    Pages 1-18
  3. Kikuo Cho
    Pages 59-92
  4. Kikuo Cho
    Pages 93-115
  5. Back Matter
    Pages 153-156

About this book


This book discusses the electromagnetic response function of matter, providing a logically more complete form of macroscopic Maxwell equations than the conventional literature. It shows that various problems inherent to the conventional macroscopic Maxwell equations are solved by the first-principles derivation presented. Applying long wavelength approximation to microscopic nonlocal response theory results in only one susceptibility tensor covering all the electric, magnetic and chiral polarizations, and the book provides its quantum mechanical expression in terms of the transition energies of matter and the lower moments of corresponding current density matrix elements. The conventional theory in terms of epsilon and mu is recovered in the absence of chirality under the condition that magnetic susceptibility is defined with respect to not H, but to B.

This new edition includes discussions supporting the basis of the present electromagnetic response theory in a weakly relativistic regime, showing the gauge invariance of many-body Schroedinger equation with explicit Coulomb potential, the relationship between this theory and the emergent electromagnetism, and the choice of appropriate forms of single susceptibility theory and chiral constitutive equations.


Chiral symmetry Long wavelength approximation Microscopic nonlocal response Single susceptibility scheme Meta-Materials Electromagnetic Response Theory Electromagnetic Response of Matter response function of matter to electromagnetic fields

Authors and affiliations

  • Kikuo Cho
    • 1
  1. 1.Toyota Physical and Chemical Research InstituteAichiJapan

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag GmbH Germany, part of Springer Nature 2018
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-662-58423-1
  • Online ISBN 978-3-662-58424-8
  • Series Print ISSN 0081-3869
  • Series Online ISSN 1615-0430
  • Buy this book on publisher's site
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