Dear Pablo,
My understanding is that you have a mixed basis set, with plane wave
outside the atomic spheres which are augmented by atomic functions
inside the sphere. You have a good explanation in the David Singh book
but also in the WIEN2k userguide I believe.
Best Regards,
Xavier
Le 22/03/2019 à 02:49, delamora a écrit :
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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