New Form of Macroscopic Maxwell Equations

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


As a one-step higher EM response theory of macroscopic M-eqs, we give a detailed description of “microscopic nonlocal response theory”, allowing semiclassical treatment of quantum mechanical matter systems from macroscopic to nano (or atomic) scale. Applying long wavelength approximation to this theory, we derive first-principles macroscopic M-eqs and constitutive equation, and also the dispersion equation for the macroscopically uniform system under LWA. The new feature of susceptibility is that it contains all the effects of electric, magnetic, and chiral polarizations in a single \(3 \times 3\) tensor. We newly add (i) an argument to guarantee the gauge invariance even if one uses the Lagrangian in Coulomb gauge, and (ii) some new aspects brought about by the consideration of relativistic corrections.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Toyota Physical and Chemical Research InstituteAichiJapan

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