Can an electron emit a single photon without violating conservation laws?

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SUMMARY

An electron can emit a single photon without violating conservation laws under specific conditions, such as when it is influenced by external fields. Cyclotron radiation and synchrotron radiation are key phenomena where an electron emits radiation while being accelerated in a magnetic field. The momentum and energy for this emission come from the external field, not the isolated electron itself. This discussion clarifies that the conservation of momentum and energy is maintained when considering the entire system, including the external apparatus.

PREREQUISITES
  • Understanding of electromagnetic radiation principles
  • Familiarity with cyclotron and synchrotron radiation
  • Knowledge of conservation laws in physics
  • Basic concepts of particle acceleration in magnetic fields
NEXT STEPS
  • Research the principles of synchrotron radiation in detail
  • Study the mechanics of cyclotron radiation and its applications
  • Explore the conservation of momentum and energy in particle physics
  • Investigate the role of external fields in particle acceleration
USEFUL FOR

Physicists, students of electromagnetism, and anyone interested in the interactions of charged particles in magnetic fields will benefit from this discussion.

cragar
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Someone told me that an electron can't emit a single photon because
it would violate conservation of momentum and energy.
I thought about cyclotron radiation. Let's say an electron is being bent in a B field
so it starts to radiate, can't we just say that this momentum and energy came from the
B field.
 
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it is the free electron which can not emit photon.Under the action of potentials,it will like in bremmstrahlung(spelling may be wrong) it does get accelerated and it radiates.In case of magnetic field,when charge particle is there.It will emit radiation, it is particularity of what is called synchrotron radiation.Just google to find out more on this.
 
If an electron is having its path bent by some external field, there must be (relatively) massive piece of equipment involved so the electron is not actually 'isolated'. A photon of bremmstrahlung radiation will have momentum but the whole of the electron plus accelerating kit could be regarded as sharing the momentum that's exchanged.
 

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