Understanding Angular Momentum Addition: A Brief Overview

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SUMMARY

The discussion centers on the addition of angular momentum in quantum mechanics, specifically referencing Clebsch-Gordan's theorem. Participants highlight the availability of resources, noting that Cohen-Tannoudji's book provides an intuitive approach, while Sakurai's "Modern Quantum Mechanics" offers a more rigorous treatment. Additionally, Wigner's works and texts on group theory in quantum mechanics are recommended for deeper understanding.

PREREQUISITES
  • Understanding of quantum mechanics concepts
  • Familiarity with Clebsch-Gordan coefficients
  • Basic knowledge of group theory
  • Experience with mathematical formulations in physics
NEXT STEPS
  • Study Clebsch-Gordan coefficients in detail
  • Read Cohen-Tannoudji's "Quantum Mechanics" for an intuitive approach
  • Explore Sakurai's "Modern Quantum Mechanics" for rigorous treatment
  • Investigate Wigner's contributions to group theory in quantum mechanics
USEFUL FOR

Students and professionals in physics, particularly those focusing on quantum mechanics and angular momentum, as well as educators seeking comprehensive resources for teaching these concepts.

somy
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Hi there.
I was just confused with this addition of angular momentum!
Any useful help or link about the mathematical consepts?
Thanks in advance.
Somy :smile:
 
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Clebsch-Gordan's theorem,huh? :-p On the internet i found decent treatments only in German courses.There are some courses on QM in English too,just google:"Clebsch-Gordan coefficients/theorem".The only complete and at the same time comprehendable & nonmathematized version you can find in the old book of Cohen-Tannoudji.A bit more rigurous is the description in Sakurai's "Modern Quantum Mechanics" and a rigurous treatment can be given in the context of group theory and representations.Wigner's book or any other book entitled "Group Theory in/and Quantum Mechanics" will be good enough.Personally I've been taught the intuitive approach by Cohen-Tannoudji.

Daniel.
 
Thanks dextercioby.
I'll take a look to sakurai. I don't have the cohen's.
 

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