Help With Derivation of Compton Shift

In summary, the conversation discusses confusion about a derivation for the Compton shift. They mention taking the square of hf from the RHS, which becomes h^2 f^2 + h^2f ' ^2 + 2h^2ff 'cos theta. The question is how to take the common from this equation, and the asker wonders if the frequency should also be squared. The responder suggests that it is just a matter of algebra and hints that this may be related to homework.
  • #1
aliz_khanz
26
0
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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  • #2
I think this is just a matter of doing the algebra. If this is homework (?) it should be in the homework-section.

Torquil
 

FAQ: Help With Derivation of Compton Shift

What is the Compton Shift?

The Compton Shift is a phenomenon in which the wavelength of scattered photons is increased due to the interaction with high-energy electrons. This results in a change in the energy and direction of the scattered photons.

How is the Compton Shift derived mathematically?

The Compton Shift can be derived using the principles of conservation of energy and momentum. The derivation involves using the laws of classical mechanics and special relativity to calculate the change in the wavelength of scattered photons.

What is the significance of the Compton Shift in physics?

The Compton Shift is an important phenomenon in understanding the behavior of electromagnetic radiation and its interaction with matter. It has applications in fields such as medical imaging, astrophysics, and quantum mechanics.

Can you explain the Compton Shift in simple terms?

The Compton Shift can be thought of as a change in the color of light due to its interaction with high-energy electrons. The scattered photons have a longer wavelength compared to the incident photons, resulting in a shift towards the red end of the electromagnetic spectrum.

Are there any real-world examples of the Compton Shift?

Yes, the Compton Shift has been observed in various experiments and phenomena. One example is the detection of cosmic microwave background radiation, which has a redshift due to its interaction with matter in the universe. Another example is the use of Compton scattering in X-ray imaging techniques.

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