Physics – General Physics
Scientific paper
2012-02-21
Physics
General Physics
7 pages, 2 figures, 1 table
Scientific paper
The de Broglie hypothesis is applied to the scattered electrons in the Compton effect. The de Broglie wavelength and frequency of the scattered electrons are obtained in terms of the wavelength and the frequency of the incident and the scattered photons respectively using the familiar particle interpretation of the Compton effect. Both non-relativistic and relativistic cases are considered. Numerical values of de Broglie wavelength and frequency of the scattered electron are calculated for an incident photon with the wavelength that was used in the original experiment of Compton. Considering the relativistic effects, the minimum de Broglie wavelength of the scattered electron is 0.3656 {\AA}. The variation of the de Broglie wave frequency of the scattered electrons with relative velocity is consistent with de Broglie's theory. The values of de Broglie's clock frequency of the scattered electrons are obtained from wave frequency and relativistic velocity. The results are useful for understanding the wave-particle duality of the electron in the context of the Compton effect.
Bhagdikar Piyush S.
Venugopal Vinay
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