How Does Electron Acceleration Affect Photon Frequency and EM Wave Spectrum?

[Sheyr]

1. If a single electron was accelerated only once (in one direction) and single photon was emited, what is than the frequency of this photon?

2. If a single electron was accelerated many times with the frequency 'f' and a EM wave was emited, is the energy spectrum of this oscilator a blackbody radiation with the maximum at 'f'?

 

[xiankai]

i also have some things to add:

1. how does the electron emit a photon, assuming it is a free electron?

2. how is the electron accelerated subsequently, as such an action changes the electron's path everytime it is accelerated again?

by frequency, i presume it is that of the de broglie wavelength of the electron?

from what i know, the black-body radiation law applies to macroscopical objects and thus not the electron. I've read somewhere that it says EM waves are propagated at the same frequency of the accelerating charged particle, I am not sure if it applies to the (free) electron.

 

[kyle8921]

1. The frequency of a photon emitted by a single electron being accelerated only once would depend on the energy of the electron and the direction in which it was accelerated. According to the formula E=hf, where E is the energy of the photon, h is Planck's constant, and f is the frequency, the frequency of the photon would be directly proportional to the energy of the electron. In order to determine the exact frequency, more information about the electron's energy and direction of acceleration would be needed.

2. If a single electron is accelerated many times with a frequency of 'f', the resulting EM wave would not necessarily have a blackbody radiation spectrum with a maximum at 'f'. The energy spectrum of an oscillating system, such as an electron being accelerated, can be complex and may not follow the simple blackbody radiation model. The frequency of the resulting EM wave would depend on the specific properties and conditions of the oscillating system, and cannot be determined solely based on the frequency of the electron's acceleration. Further analysis and calculations would be necessary to determine the energy spectrum of the EM wave in this scenario.