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### ME and Dirac equation

In the time-harmonic case in [#!KS!#] is to find a further approach by the so-called quaternionic MAXWELL operator. For MAXWELL equations in the vacuum
with the complex electrical conductivity one obtains the
HELMHOLTZ equations
with . Here  is called medium wave number. The MAXWELL operator is defined by
V.V KRAVSHENKO and M.V. SHAPIRO worked out the following connection between MAXWELL equations and the DIRAC equation. It reads as follows:
with

collected and worked out by Wolfgang Sprößig, TU-Bergakademie Freiberg