[Wien] Augmented Plane Wave

[pieper]

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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