Angular momentum and group representation

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Discussion Overview

The discussion centers on the relationship between angular momentum operators in quantum mechanics and group theory, specifically the connections to the SO(3) and SU(2) groups. Participants are seeking recommendations for textbooks that emphasize the mathematical aspects of this relationship.

Discussion Character

  • Exploratory, Technical explanation

Main Points Raised

  • One participant notes the connection between angular momentum operators and the SO(3) or SU(2) groups, seeking resources that explain this relationship in detail.
  • Another participant suggests that older texts by Rose and Edmonds are among the best for understanding angular momentum in this context, although they do not recall the exact titles.
  • A third participant recommends "Group Theory and Quantum Mechanics" by M. Tinkham as a relevant resource.
  • A fourth participant mentions the book "Symmetry Principles in Quantum Physics" by Fonda and Ghirardi as another potential reference.

Areas of Agreement / Disagreement

Participants generally agree on the value of older texts for understanding the topic, but there is no consensus on a single best resource, as multiple recommendations are provided.

Contextual Notes

No specific limitations or unresolved issues are noted in the discussion.

Who May Find This Useful

Readers interested in the mathematical foundations of quantum mechanics, particularly those focusing on angular momentum and group theory.

paweld
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I heard that angular momentum operators and their eigenvectors are realted to SO(3) or SU(2)
group. Does anyone know a good textbook which explain the connection between how group theory and quantum mechanics (especially angualr momentum). I'm interested rather in books which emphasizes mathematical aspects and are quite precise in this matter.
 
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I think the two old books by Rose and Edmonds are still the best for this.
I don't remember their exact titles but they have "angular momentum" in them.
 
Check out the book by Fonda and Ghirardi: "Symmetry Principles in Quantum Physics".
 

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