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C00002 00002	photo[w83,jmc]		Coherent photo-electric effect
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photo[w83,jmc]		Coherent photo-electric effect

1983 March 25

	Our object is to determine conditions under which an
electron photo-emitted from a metal is not localized and
such that the electron wave can interfere with itself.

1. It should be a conduction electron that is emitted so that
the electron is initially unlocalized and the recoil is from
the metal (crystal) as a whole.

2. The following may be the simplest model.  Imagine the crystal
as a box containing a single electron.  The wave function of
the electron is periodic in space and time so that the amplitude
is uniform over the box.  This oversimplifies the situation of
an electron in the periodic structure of a crystal.

One face of the box faces another box where there is a photon,
and there is a potential difference between the two boxes.
Evidently there is some amplitude for the electron to be in
the second box and the photon to be split into the two boxes.

The second box might be taken as infinite.  In fact perhaps the
simplest model is a plane dividing space in two with a potential
difference across it.  We need to compute the interaction of
photon and electron waves.

If we didn't have the barrier, we would be talking about the
Compton effect.