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## 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.

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.