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1) Photons do excite electrons. In the case of free_______________________________________________
electrons this is obvious. In the case of bound electrons
it is matter of taste whether you call it an excitation
"of the electron" or an excitation "of the overall system".
The language of free electrons is commonly applied to
electrons in semiconductors, for good reason.
2) Electrons do "split with" holes.
3) An electron-hole pair is in many ways analogous to an
excited state in an atom or molecule.
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These are entirely conventional ideas and terminology
among scientists. Look up the discussion of Frenkel
excitons and Mott-Wannier excitons in any solid-state
physics text.