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Does conductors have refractive index for electrons?

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Jarek Duda

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Sep 20, 2008, 10:16:30 AM9/20/08
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First approximation of free electron in conductor can be a plane wave.
So shouldn't there be more analogies from optics?
Remember that single electron can go through two slits at the same
time...

Photons interact with local matter (electron/photons) which results
(in first approximation) in complex coefficient (n) - refractive
index.
It's imaginary part describes absorption - corresponds to resistance
for conductor.
It's real part corresponds to phase velocity/wavelength, is there
analogy in free electron behavior?

Different conductors have different local structure, electron
distributions etc. - so maybe they have a difference in refraction
index...
If yes, there should be more effects from optics, like partial
internal reflection, interferences ... we could use in practice.
I know - electrons unlike photons interact with each other - so
electron waves should quickly loose it's coherence.
But maybe we could use such quantum effects on short distance in
crystals?

Or maybe in one dimension - imagine for example long (-CH=CH-
CH=CH- ...) molecule.
It's free electrons should behave like one-dimensional plane wave.
Now exchange hydrogen to for example fluorine (-CF=CF-) - it still
should be a good conductor, but the behavior of electrons should be
somehow different ... shouldn't it have different refraction index?
If yes, for example (-CF=CH-) should have intermediate...

What for?
Imagine for example something like anti-reflective coating from
optics:
http://en.wikipedia.org/wiki/Anti-reflective_coating
Let say: thick layer of higher refractive index material and thin of
lower.
The destructive interference in thin layer happen only from the anti-
reflective side (thin layer) - shouldn't it reflect a smaller amount
of photons/electrons than from the second side?
If we choose reflective layer for dominant thermal energy of photons/
electrons, shouldn't it spontaneously create gradient of densities?
For example to change heat energy into electricity...

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