Phonon emission : Discrete event or a process with inner detail?

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SUMMARY

The discussion centers on the nature of phonon and photon emissions, specifically whether these processes are discrete events or can be broken down into more detailed sub-processes. It is established that photon emission occurs when an electron transitions to a lower energy state, representing a discrete event. In contrast, phonon emission is also typically viewed as discrete, but the discussion raises the question of whether this perception is merely for simplicity or if phonons can be analyzed at a deeper level. The conversation highlights the lack of a fundamental theory for photons, unlike phonons, which are understood to emerge from more fundamental interactions.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly energy states and particle interactions.
  • Familiarity with phonons and photons as quantum mechanical entities.
  • Knowledge of theoretical frameworks such as string theory.
  • Basic grasp of discrete versus continuous processes in physics.
NEXT STEPS
  • Research the role of phonons in condensed matter physics.
  • Explore the implications of string theory on the nature of photons.
  • Investigate experimental methods to measure phonon interactions.
  • Study the differences between discrete and continuous quantum events in detail.
USEFUL FOR

Physicists, quantum mechanics students, and researchers interested in the fundamental nature of particles and their interactions, particularly in the context of phonons and photons.

Swamp Thing
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If I understand correctly, when an electron drops to a lower energy state and emits a phoTon, this is a discrete or "atomic" event in the sense that it can't be meaningfully broken down in terms of more detailed sub-processes or interactions.

Now in the case of phoNon emission, it is also usually thought of as a discrete event... but is this done merely for convenience and simplicity, or is it also inherently discrete/"atomic" with no inner machinery?
 
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What would it mean to emit half a photon? More generally, what kind of measurement could you make to distinguish those two possibilities?
 
We know that phonon interactions emerge from a more fundamental theory in which phonons are not fundamental objects. We do not have such a knowledge for photons, even though we have some theoretical candidates (e.g. string theory). So I would reverse the question. The emission of phonons can be "meaningfully broken down in terms of more detailed sub-processes or interactions", while the open question is whether it can be done for photons.
 
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