What causes an electron to return to its ground state?

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SUMMARY

The discussion centers on the mechanisms behind an electron's return to its ground state, specifically through the process of spontaneous emission as explained by quantum electrodynamics (QED). The interaction between the electromagnetic field and the atom's excited state leads to the electron transitioning back to the ground state, influenced by vacuum fluctuations. Additionally, the conversation touches on the naming conventions of spectral transitions, clarifying that terms like Lyman, Balmer, and Paschen are specific to hydrogen, as it is the only atom that can be fully analyzed in quantum mechanics due to its two-particle system.

PREREQUISITES
  • Understanding of quantum electrodynamics (QED)
  • Familiarity with atomic structure and electron transitions
  • Knowledge of spectral lines and emission spectra
  • Basic principles of quantum mechanics
NEXT STEPS
  • Research the principles of spontaneous emission in quantum electrodynamics
  • Explore the hydrogen emission spectrum and its associated transition names
  • Study the limitations of quantum mechanics in solving spectral problems for multi-electron atoms
  • Investigate vacuum fluctuations and their role in quantum transitions
USEFUL FOR

Students and researchers in physics, particularly those focusing on quantum mechanics, atomic physics, and anyone interested in the behavior of electrons in atomic structures.

Wheelwalker
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I've recently realized I have completely taken for granted that electrons simply tend to be found in their ground state. I want to understand fundamentally what is causing the electron to drop back to its ground state. It feels a force from the positively charged nucleus, but if it was given exactly enough energy to hop up into an excited state, how does it lose that energy and consequently get forced back "down"?
 
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Its the process of spontaneous emission which requires QED to explain:
http://en.wikipedia.org/wiki/Spontaneous_emission
'In quantum electrodynamics (or QED), the electromagnetic field has a ground state, the QED vacuum, which can mix with the excited stationary states of the atom (for more information, see Ref. [2]). As a result of this interaction, the "stationary state" of the atom is no longer a true eigenstate of the combined system of the atom plus electromagnetic field. In particular, the electron transition from the excited state to the electronic ground state mixes with the transition of the electromagnetic field from the ground state to an excited state, a field state with one photon in it. Spontaneous emission in free space depends upon vacuum fluctuations to get started.'

Thanks
Bill
 
Thanks Bill. Looks like this will have to wait for grad school!
 
Bill, since you're so helpful, in a kind of related question.

I'm reading about all of those transitions, lymann, balmer, paschen, and more.
Everytime I look it up it always begins with: "in the hydrogen emmison spectrum..."

Are these names only for hydrogen? What about the other elements? Do they have different names?
 
This is more physical chemistry stuff - I am more of the mathematical physics bent.

But all the above are for Hydrogen atoms and are the only ones I know of - and even then I had to look up paschen. They certainly exist, but its not something I am into.

Sorry mate - must leave it up to someone else.

Thanks
Bill
 
Only the H-atom can be fully solved in QM, since it's a 2-particle system. For the other atoms, you can't fully solve the spectral problem of the Hamiltonian, hence you can't determine the emission spectrum theoretically => the name of the transitions are only for the H-atom.
 
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