How many photons are emitted by accelerating electron?

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SUMMARY

The discussion focuses on the emission of photons by electrons during transitions between energy levels and acceleration. When an electron transitions from a higher to a lower orbital, it emits one photon corresponding to the energy difference between the two levels. In free space, an accelerating electron emits a continuous stream of photons with increasing frequency, influenced by its velocity and acceleration rate. The relevant phenomena include Bremsstrahlung and cyclotron radiation, which describe the conditions under which these emissions occur.

PREREQUISITES
  • Understanding of quantum mechanics, specifically electron orbital transitions
  • Familiarity with electromagnetic radiation principles
  • Knowledge of Bremsstrahlung and cyclotron radiation concepts
  • Basic grasp of the relationship between energy, frequency, and wavelength
NEXT STEPS
  • Research the equations governing photon emission during electron transitions
  • Explore Bremsstrahlung radiation and its applications in X-ray production
  • Study cyclotron radiation and its implications in particle physics
  • Investigate the relationship between acceleration, velocity, and photon frequency
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Physicists, students of quantum mechanics, and anyone interested in the behavior of electrons under acceleration and their photon emission characteristics.

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And what determines the wavelengths of the emitted photons? In jumping from one orbital to a lower one, how many photons does an electron generally emit? Is it just one, with a wavelength determined by the distance jumped between orbitals, or many?

In the case of an electron being accelerated in free space, does it emit a constant stream of increasing frequency photons, and how far must the electron travel in order to emit a photon?

Thank you.
 
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In transitioning from one orbital to another I *think* it just emits one photon of equal energy to the difference of the two energy levels. However, this does not prohibit an electron from dropping from one energy level to another, and then to one even lower provided it has free levels to drop to.

As for acceleration, that depends on the velocity of the electrons and the rate of acceleration. Many forms of X-Rays are produced by shooting electrons at a target and decelerating them. As for the number of photons emitted, I don't know.
 
Does anyone know the pertinent equations to figuring out the relationship between speed, time, and frequency of emitted photons to shed more light (pun unintended) on this?
 
Very interesting, thank you.
 

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