Help With Derivation of Compton Shift

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SUMMARY

The discussion focuses on the derivation of the Compton Shift, specifically addressing the algebraic manipulation of the equation involving the square of the term hf. The user expresses confusion regarding the squaring process, questioning why only Planck's constant (h) appears squared while the frequency (f) does not. The conversation emphasizes the importance of understanding the algebraic principles involved in this derivation, particularly in the context of photon energy and momentum conservation in Compton scattering.

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aliz_khanz
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I am confused in a thing that is on wikipedia and need to know ur answers on this.This is from the last part of derivation for comton shift.

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From the RHS, you take the square of hf so it becomes h^2 f^2 + h^2f ' ^2 +2h^2ff 'cos theta

now how can it take the common from the below equation? if it has to take common , it implies that when u r squaring hf , u only square h not f (whereas i think that frequency should also be squarred) am i missing something?
fecf3f805530867298c648378af483be.png
 
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I think this is just a matter of doing the algebra. If this is homework (?) it should be in the homework-section.

Torquil
 

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