Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Model-independent derivation of macroscopic Maxwell equations from
  microscopic basis: Beyond the "\epsilon and \mu" description   Pointing out the incompleteness of conventional macroscopic Maxwell equations
(M-eqs.), we propose a new form derived from the long wavelength approximation
(LWA) of microscopic nonlocal response. From the general Hamilonian of matter
and matter-EM field interaction (containing spin dependent terms due to
relativistic correction), we first set up the simultaneous equations for
microscopic "vector potential $\Vec{A}$ and induced current density $\Vec{I}$",
and then extract the macroscopic components by applying LWA. This leads to new
macroscopic M-eqs. with a single macroscopic susceptibility $\chi_{\rm
em}(\Vec{k}, \omega)$ between $\Vec{I}$ and $\Vec{A}$, which describes both
electric and magnetic polarizations and their mutual interference in its fully
quantum mechanical expression. In the absence of chirality and under the
condition to use magnetic susceptibility defined with respect to $\Vec{B}$,
this scheme is shown to be equivalent to the conventional "$\epsilon$ and $\mu$
scheme". In the case of chiral symmetry, the phenomenological constitutive
equations by Drude, Born and Fedorov cannot be justified by this microscopic
approach. As a single susceptibility scheme of macroscopic M-eqs., this result
is on an advanced level by its fully quantum mechanical description of the
whole set of $O(k^0)$, $O(k^1)$ and $O(k^2)$ terms of susceptibility providing
a consistent picture of such a scheme.

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The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
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The categories of this paper are: cs
20
The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: eess