Why Do We Have The Effect Of Spontaneous Emission And Absorption

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SUMMARY

This discussion centers on the phenomenon of spontaneous emission and absorption in quantum mechanics, specifically through the lens of Fermi's Golden Rule. The interaction with the Quantum Electromagnetic Field is analyzed as a small perturbation affecting stationary states. Key resources mentioned include a PDF on photon behavior and foundational texts such as "QFT for the Gifted Amateur" and "Student Friendly QFT." The discussion emphasizes the importance of understanding these concepts thoroughly, despite potential mathematical challenges.

PREREQUISITES
  • Understanding of Quantum Electromagnetic Field interactions
  • Familiarity with Fermi's Golden Rule
  • Basic knowledge of quantum mechanics and stationary states
  • Experience with quantum field theory (QFT) literature
NEXT STEPS
  • Study Fermi's Golden Rule in detail to grasp its implications in quantum mechanics
  • Read "QFT for the Gifted Amateur" for a foundational understanding of quantum field theory
  • Explore "Student Friendly QFT" to solidify concepts in quantum field theory
  • Investigate advanced texts like "Banks" and "Wienberg" for deeper insights into QFT
USEFUL FOR

Students, physicists, and researchers interested in quantum mechanics and quantum field theory, particularly those seeking to understand spontaneous emission and absorption phenomena.

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Hi All

In another thread I answered was a question related to this and noticed another as well, so I thought I would give the full answer in its own thread rather than write it out twice. The other question has been deleted but here is the full detail anyway.

First see:
http://www.physics.usu.edu/torre/3700_Spring_2015/What_is_a_photon.pdf

We can view the interaction with the Quantum EM Field on an otherwise stationary state as a small perturbation and hence apply an important theorem - Fermi's Golden Rule:
https://en.wikipedia.org/wiki/Fermi's_golden_rule

I gave a link to Wikipedia, but that's just because it came up first on a search to get a link. There are tons of other papers on it, and while fully working through it may take a bit of time if you have not seen it before, it is an important result, and worth the effort in understanding it.

Thanks
Bill
 
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... so, in other words, "how would a stationary state change?" ... with the answer being, it does not: the physical state in real life is not absolutely the stationary one because the calculation left out some stuff.
Only going into detail.

Have I got it?

It's neat. Could it be an insights article?
 
Simon Bridge said:
Have I got it?

You got it.

That paper is an insights article itself without me or someone else writing one.

Watch out if you are carefully going through the math - I can't remember where but there is an 'error' I had to use some other books like Dirac's classic text to clarify. But if you come across it just do a post here.

Excellent introduction to QFT as well - read before studying QFT for the Gifted Amateur and Student Friendly QFT. Both books are more than good enough to have as an introduction all those seriously interested in physics should have about QFT. Beyond that I would study Banks:
https://www.amazon.com/dp/0521850827/?tag=pfamazon01-20

As one review says - perfect to read before going onto the master - Wienberg.

Do not study Zee - I originally thought it good - but now think its far too 'pokey' and do not like it.

Thanks
Bill
 

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