The Doppler Effect- According to Quantum Mechanics

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SUMMARY

The discussion centers on the relationship between the Doppler Effect and quantum mechanics, specifically addressing how light is absorbed and emitted by electrons. It establishes that quantum physics does not provide a definitive answer to whether photons are emitted instantaneously or gradually, as it focuses on mathematical models rather than physical explanations. The Doppler Effect is described as a macroscopic phenomenon, with the emitted wave being stretched or compressed by a moving source relative to the observer. The conversation highlights the limitations of quantum models in explaining the nuances of light absorption and emission.

PREREQUISITES
  • Basic understanding of quantum mechanics principles
  • Familiarity with the Doppler Effect
  • Knowledge of photon behavior in quantum physics
  • Mathematical concepts related to energy levels in atoms
NEXT STEPS
  • Research the mathematical foundations of quantum mechanics
  • Explore the concept of quantized energy absorption in atoms
  • Study the implications of the Doppler Effect in both classical and quantum contexts
  • Learn about the role of photons in energy transitions of electrons
USEFUL FOR

Students beginning their journey in quantum mechanics, educators seeking to clarify concepts of light absorption and emission, and anyone interested in the intersection of classical physics and quantum theory.

andmir92
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I am just beginning to learn about quantum mechanics and I have already come up with a question regarding it. I know that light is absorbed by an electron at once and I know about the doppler shift. Yet is light emitted at once, or gradually? If at once, how could the wavelength be shifted because of the receding or approaching speed of a planet, and therefore, individual atoms (I know it can be shifted by gravity, but that's besides the point, I think)? If it gets emmitted gradually, then why (I mean, why is it absorbed at once and emmitted gradually)?
Can anyone offer any suggestions for books or website articles that specifically address quantized energy absorption? And as I am just starting and do not know anything about differential equations and calculus, should I try to learn it from a school textbook, wait until I take the class, or read a book that might explain it in easier terms (I am a sophmore in high school)?

Thank You
 
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The Doppler effect is a macroscopic phenomena, and you are trying to fit it in a quantum model. Don't. Quantum physics doesn't deal with questions like "is the photon emitted at once" or "does the electron jump instantaniously between energy levels". That is taking the model too literally. Unlike classical physics, QP doesn't try and explain what "actually happens"..

When it comes to Doppler the only reasonable explanation is that the emitted wave is stretched or compressed when continuously emitted by a, relative to observer, moving source.

If you're looking for a detailed explanation of how an atom absorbs light, I'm sorry to say you'll probably be disappointed. The quantum model goes no deeper than to say that the atom absorbs the photon and an electron increases it's energy level accordingly. The model is mainly mathematical, I believe.
 
It's a good question. There must be a quantum mechanical explanation of the doppler effect. I can't think what it is at the moment though.
 

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