Abstract
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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Notes
- 1.
On this subject we skip the [SI] form of equations, which seems to be rarely used.
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Cho, K. (2018). New Form of Macroscopic Maxwell Equations. In: Reconstruction of Macroscopic Maxwell Equations. Springer Tracts in Modern Physics, vol 237. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-58424-8_2
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DOI: https://doi.org/10.1007/978-3-662-58424-8_2
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