Photon colliding with moving electron

In summary, the conversation discusses Compton scattering of a photon by a moving electron. The initial state has a photon with a wavelength λ moving in the +x direction and an electron with total energy E moving in the -x direction. After the collision, both the photon and electron move in the -x direction. The first part (a) asks for an expression for the wavelength λ' of the scattered photon. The second part (b) shows that for the case of E>>mc^2, the result reduces to λ′= hc/E(1+ m^2 c^4 λ/4hcE). The conversation also mentions using energy and momentum conservation laws to solve the problem, and provides a link for further guidance.
  • #1
Giorgi1997
5
0

Homework Statement


Consider Comton scattering of a photon by a moving electron. Before the collision the photon has wave length λ and is moving in the +x direction, and the electron is moving in the -x direction with total energy E. The photon and electron collide head-on. After the collision both are moving in the -x direction. (a) Derive an expression for the wavelength λ' of the scattered photon. (b) Show that for the case E>>mc^2, the result reduces to λ′= hc/E(1+ m^2 c^4 λ/4hcE)

Homework Equations

The Attempt at a Solution


I tried using energy and momentum conservation laws but can't seem to find it
 
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  • #2
Can you please show your work?
 
  • #3
AbhinavJ said:
Can you please show your work?
I would but i haven't done much progress
I just need a hint or the direction of the solution
 
  • #4
Conserving momentum and energy should get you to the answer, put in the vectors correctly while conserving momentum.
 
  • #5
AbhinavJ said:
Conserving momentum and energy should get you to the answer, put in the vectors correctly while conserving momentum.
did that
thx anyway
 
  • #8
Einitial=Efinal
pinitial=pfinal
Plug in the values, get an answer, post the equations and somebody will point out what was wrong in them.
 
  • Like
Likes Giorgi1997
  • #9
AbhinavJ said:
Einitial=Efinal
pinitial=pfinal
Plug in the values, get an answer, post the equations and somebody will point out what was wrong in them.
File_000.jpeg


This is how i try to start
 

1. What is a photon?

A photon is a fundamental particle of light that carries energy and has no mass. It is also known as an electromagnetic wave or particle.

2. What is an electron?

An electron is a subatomic particle with a negative charge. It is one of the fundamental particles that make up an atom.

3. How does a photon collide with a moving electron?

A photon and a moving electron can collide when the photon's energy is equal to the difference in energy levels of the electron. This collision can result in the absorption or emission of the photon by the electron.

4. What happens when a photon collides with a moving electron?

The outcome of a photon colliding with a moving electron depends on the energy of the photon and the energy state of the electron. It can result in the transfer of energy to the electron, causing it to change its energy level or direction.

5. What is the significance of photon colliding with a moving electron in scientific research?

The collision of a photon with a moving electron is an important concept in quantum mechanics and is used in various research fields, such as particle physics and quantum computing. It helps us understand the behavior of light and matter at a microscopic level and has practical applications in technology and medicine.

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