Diffraction wavelength of particles in moving frames?

  • #1
1
0

Main Question or Discussion Point

Here's a question I cannot seem to comply with my understanding of Quantum Mechanics.
The characteristic wavelength of a particle is responsible for diffraction interference fringes, which is part of the wavefunction solution to the schrodinger equation. But the wavelength of a particle is dependent on its momentum P. So if the whole diffraction experiment was carried out in a moving frame of reference, then by the unitary space-time translating operator G, which translates the velocity, the momentum is dependent on the frame of reference. So in the moving frame of reference, the particle would seem to have a different wavelength. So what wavelength would the diffraction pattern relate to, which I assume must give the same fringe pattern in both frames.
 

Answers and Replies

  • #2
1,006
104
In the moving frame the diffraction grating or slit will also be moving, which will complicate the calculation of the diffraction pattern. Once you account for this, the result of the calculation will be the same diffraction pattern as you would calculate in the original frame.
 

Related Threads on Diffraction wavelength of particles in moving frames?

  • Last Post
Replies
2
Views
515
  • Last Post
Replies
1
Views
2K
Replies
7
Views
817
Replies
1
Views
647
Replies
6
Views
4K
  • Last Post
Replies
3
Views
11K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
3
Views
734
Replies
0
Views
1K
Top