Quantum theory of radiation

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SUMMARY

The discussion centers on the connection between the quantum harmonic oscillator and the modes of the radiation field as explained by Dirac in his quantum theory of radiation. Key references include the Wikipedia page on the quantum harmonic oscillator and a specific equation (Eq 2.6) from a quantum field theory document. The relationship is further clarified through the use of annihilation and creation operators, which are essential for understanding this connection. Additional resources such as "Quantum Field Theory for the Gifted Amateur" provide further insights into these concepts.

PREREQUISITES
  • Understanding of quantum harmonic oscillators
  • Familiarity with quantum field theory (QFT)
  • Knowledge of annihilation and creation operators
  • Basic grasp of electromagnetic radiation modes
NEXT STEPS
  • Study the quantum harmonic oscillator in detail
  • Review Eq 2.6 in the provided quantum field theory document
  • Read "Quantum Field Theory for the Gifted Amateur" for deeper insights
  • Explore the mathematical formulation of annihilation and creation operators
USEFUL FOR

This discussion is beneficial for physics students, researchers in quantum mechanics, and anyone interested in the foundational aspects of quantum field theory and its applications to radiation phenomena.

wasi-uz-zaman
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hi , i am not getting how harmonic oscillator is linked to the modes of radiation field- as explain by Dirac in his quantum theory of radiation.
 
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wasi-uz-zaman said:
hi , i am not getting how harmonic oscillator is linked to the modes of radiation field- as explain by Dirac in his quantum theory of radiation.

Get a hold of Quantum Field Theory for the Gifted Amateur:
https://www.amazon.com/dp/019969933X/?tag=pfamazon01-20

There are a number of different equivalent forms of QM. There is a form based on annihilation and creation operators, which is not that well known, that brings out this connection very clearly. The above reference explains it in detail.

Added Later

Check out:
http://math.bu.edu/people/mak/Styer Am J Phys 2002.pdf

See formulation 7

Thanks
Bill
 
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