comes from: Physics quantum waves are
particles is perhaps most evident in the behavior as a particle in an electromagnetic wave, and that mathematical analysis of the problem is exactly like that if two particles collide, except that the expressions of energy and angular momentum of the photon not include the mass, but the wavelength.
A photon with wavelength λ, collides with an electron at rest. The photon energy and angular momentum exchanges with him, and is deflected at an angle θ, while the electron is equally diverted, in addition to acquiring a certain speed.
A photon with wavelength λ, collides with an electron at rest. The photon energy and angular momentum exchanges with him, and is deflected at an angle θ, while the electron is equally diverted, in addition to acquiring a certain speed.
Before the collision, both the energy and the time correspond entirely to the photon and the electron is at rest. After the collision, the electron acquires a momentum p = m and and v, which is related to the kinetic energy E = p c and 2 / 2m e . The total energy and momentum must be equal to the initial, so the match:
The change in wavelength is not very large, ie, λ is similar to λ '. In these circumstances the first term on law is negligible, and can be ignored, so in the end, the equation for Compton scattering of photons by collisions with electrons is:
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