[More on: part 2] Explaining the photo electric effect from the wave perspective.



'It is written' that this cannot (has not?) been done [1].

Before I delve deeper in the math, let us look at it from
a slightly different perspective,
yesterday, in my first post on this subject, I used the mechanical equivalent
of a plate with holes in it.
Today I will explore some other models that possibly come closer to what
I am trying to achieve.

Imagine you have a magnet and a steel ball attached to it.
You are in outer space, so no gravity influences.
Now start waving the magnet, first slowly.
The ball will remain stuck to the magnet.
Move it faster back and forward, and at some point because of the MASS
of the ball (inertia) momentarily the ball is so far away from the magnet
that the attractive force is no longer able to keep it and the ball escapes
into space.
The ball is here the electron and the waving of the magnet is caused by the
incoming light, an *electromagnetic wave*.
How and why do I try to evaluate this so much?
Because of L. De Broglie's work.
We know from De Broglie [3] that an electron can only be in a stable
orbit (so for example does not fly away) if the phase of the wave
associated with it fits exactly.

Now to the gist of this, I see the whole 'environment' of the atom
*influenced* by the *electromagnetic wave* of the incoming light.
It is not so much a local event, although phase and amplitude values
are locally defined.

So the *electro* magnet that holds the electron with mass m is periodically
changing the position of its field lines, AS IF IT IS WAVING, under
the influence of the incoming electromagnetic light wave.

So here I why I say: 'the container waves' in the analogy.

We are now a little bit closer to the math (being able to do some).



I even suspect we can find the specific values for the various elements from
their atomic structure (the container). [2]

Right or wrong?


FYI readings:
Photo electric effect:
http://theory.uwinnipeg.ca/physics/quant/node3.html

[1] What not:
http://hyperphysics.phy-astr.gsu.edu/hbase/mod1.html#c3

[2] Materials work function
http://hyperphysics.phy-astr.gsu.edu/hbase/tables/photoelec.html

[3] L. De Broglie's
1923 Comptes rendus Note

.



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