Accelerated electron photon emission

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SUMMARY

The discussion centers on the relationship between accelerated electrons and photon emission, referencing Maxwell's equations and quantum mechanics. It is established that an accelerated electron radiates energy, but quantum mechanics alters the classical interpretation by indicating that electrons exist in stationary states around the nucleus, preventing energy loss through radiation. The wavelength of emitted photons is determined by the energy transitions of the electron between these stationary states.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Basic principles of quantum mechanics
  • Knowledge of atomic structure and electron behavior
  • Familiarity with photon emission and energy transitions
NEXT STEPS
  • Research the implications of Maxwell's equations on electromagnetic radiation
  • Study quantum mechanics principles related to stationary states and energy levels
  • Explore the relationship between photon wavelength and energy transitions in atoms
  • Investigate the concept of electron orbitals and their significance in atomic theory
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Physicists, students of quantum mechanics, and anyone interested in the fundamental principles of electromagnetic radiation and atomic behavior.

Greenie
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Classically, I think it is correct to say that Maxwell implies an accelerated electron will "radiate"

What is the quantum take on this please? In particular, what determines the wavelength of the emitted photon?

PS I may ahve asked something like this before, but I never found an answer. This is a re-phrasing of the question.

PPS I know one should not try to interpret what the maths says in practical terms! cf, maths of a car's front suspension is same as how you tune a radio, but my radio is not made of springs and shock absorbers!

Thanks

David
 
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Greenie said:
Classically, I think it is correct to say that Maxwell implies an accelerated electron will "radiate"

What is the quantum take on this please? In particular, what determines the wavelength of the emitted photon?
It is the same quantum mechanically. That is why the electron in an atom cannot be said to orbit the nucleus, as otherwise it would be accelerating and thus emit radiation and lose energy. Instead, quantum mechanics showed that the electron is in a stationary state around the nucleus.
 

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