The wavelength shift lies between zero ( for 0?} } ) and twice the Compton wavelength of the electron ( for 180?} } ).
12.
For gauge bosons, the Compton wavelength sets the effective range of the Yukawa interaction : since the photon has no mass, electromagnetism has infinite range.
13.
This argument also shows that the reduced Compton wavelength is the cutoff below which quantum field theory which can describe particle creation and annihilation becomes important.
14.
The resulting expression consists of an initial position, a motion proportional to time, and an unexpected oscillation term with an amplitude equal to the Compton wavelength.
15.
Would the circumstances be different if its Compton wavelength was considered instead ? The preceding contribs ) } | & # 32; } | } }.
16.
The wavelength shift is at least zero ( for 0?} } ) and at most twice the Compton wavelength of the electron ( for 180?} } ).
17.
This is a simple case of dimensional analysis : the Schwarzschild radius is proportional to the mass, whereas the Compton wavelength is proportional to the inverse of the mass.
18.
Both of these are in the domain of classical physics, not quantum physics, and therefore may not be valid at distances of roughly the Compton wavelength or below.
19.
The Compton wavelength can be contrasted with the de Broglie wavelength, which depends on the momentum of a particle and determines the cutoff between particle and wave behavior in quantum mechanics.
20.
According to this physical picture, the carrier wave has the Compton wavelength \ lambda _ c = 2 \ pi \ hbar / mc and the de Broglie wavelength prescribes its modulation.