show, that the compton wavelength corresponds to the self energy of an electron.
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The Compton wavelength of a particle is equal to the wavelength of a photon whose energy is the same as the mass of that particle (see mass–energy equivalence). It was introduced by Arthur Compton in his explanation of the scattering of photons by electrons (a process known as Compton scattering
The effect is significant because it demonstrates that light cannot be explained purely as a wave phenomenon. ... Compton's experiment convinced physicists that light can be treated as a stream of particle-like objects (quanta called photons), whose energy is proportional to the light wave's frequency
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The Compton wavelength value of an electron is 0.243 Å.
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