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cscott
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Is the derivation of the Compton Effect formula shown on wikipedia the way Compton originally did it?
The Compton Effect Formula is a mathematical equation that describes the change in energy and wavelength of a photon after scattering off of a stationary electron. It is represented as E = E0 + mc2 (1 - cosθ), where E is the final energy, E0 is the initial energy, m is the mass of the electron, c is the speed of light, and θ is the angle of scattering.
The Compton Effect Formula was first derived by American physicist Arthur Holly Compton in 1923. He conducted experiments to study the scattering of X-rays off of electrons and discovered that the X-rays underwent a slight increase in wavelength after scattering, which was not explained by classical physics. He then developed the formula to explain this phenomenon.
The original derivation of the Compton Effect Formula was based on the principles of conservation of energy and momentum. Compton assumed that the photon and electron acted as particles, and their interaction could be described using these principles. Using this approach, he was able to derive the formula and successfully explain the observed increase in wavelength of the scattered X-rays.
Yes, the Compton Effect Formula follows the original derivation proposed by Arthur Holly Compton. The formula has been extensively tested and has been found to accurately predict the change in energy and wavelength of a scattered photon. It is considered one of the fundamental equations in the field of quantum mechanics.
The Compton Effect Formula is used in many areas of scientific research, particularly in the fields of particle physics, quantum mechanics, and astrophysics. It is used to study the interaction of photons and electrons, and to understand the behavior of matter at a microscopic level. The formula has also been applied in various technologies, such as medical imaging and X-ray spectroscopy.