Dear Pablo,
I suspect your problem occurs because you left out the word which
"Augmented" refers too: It is an "Augmented Plane Wave Method",
that is, the Method is augmented (including additional basis functions),
not the plane waves (in amplitude or intensity).
Best regards,
Martin Pieper
---
Dr. Martin Pieper
Karl-Franzens University
Institute of Physics
Universitätsplatz 5
A-8010 Graz
Austria
Tel.: +43-(0)316-380-8564
Am 2019-03-22 02:49, schrieb delamora:
Dear Wien users,
I have a question about the name of
"Augmented Plane Wave"
I had the idea that when the wave enters the Muffin Tin sphere the
amplitude of the wave increased.
Trying to see this I found that when a wave crosses a step function,
https://quantummechanics.ucsd.edu/ph130a/130_notes/node149.html
When the incoming wave
exp(ikx)
reaches an upwards step function there is a reflected wave
R exp(-ikx)
and a transmitted wave
T exp(ik'x)
what this article shows is;
1 + R = T
That is, the amplitudes of the incoming wave and the reflected wave
add to the amplitude of the transmitted wave
If I take this into a square well then I would understand that the
waves inside the well have the total amplitude equal to the incoming
and transmitted wave. That is, when the wave enters the Muffin Tin the
amplitude of wave is not AUGMENTED. So why is this method called
"Augmented Plane Wave"?
Saludos
Pablo
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