Temperature Effects

Many thanks, these are important computations for the purpose of testing the validity of the linear approximation, which is soluble by Maxima. It is right to equate x / (1 – x) with unity for the one photon theory. The importance of this transition is that there is a continuity of concepts, i.e. the conservation of energy and momentum applies in the one photon limit. One cannot very well argue that one photon is refracted and one photon is reflected. The Planck distribution is an average over many photons – so the incident beam is always split into two beams, reflected and refracted.

Sent: 29/11/2014 21:28:57 GMT Standard Time
Subj: Temperatore effects

I computed the scatterd frequencies for different temperatures:
30 000 K
3000 K
300 K
30 K

From Fig. 2 it can be seen that below 3000 K there is no significant
change in the curves, showing that the linear approximation works well
in the relevant range.
Alternatively I computed the curves with the one-photon theory by
setting the factors x/(1-x) to unity (was this right?)
We see now (Fig. 3) that the sum of refracted and reflected frequencies
is identical to the incident frequency. This was not the case for the
direct frequency comparison with temperature effects.
Fig. 4 compares the frequency curve for T=300 K with that of the
one-photon theory. There is a remarkable difference. In the limit T–>0
both theories are different.


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