Total Angular Momentum J

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Discussion Overview

The discussion revolves around the concept of total angular momentum in quantum systems, specifically focusing on an electron system with spin and orbital angular momentum. Participants explore the relationship between total angular momentum, its components, and the derivation of various states.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant states that in an electron system with spin = 1/2 and orbital angular momentum l = 1, the total angular momentum J is given by the equation J = S + L.
  • Another participant begins with a specific state characterized by j = 3/2 and m = 3/2, asking how to derive other states from this starting point.
  • A participant questions the origin of the j and m values mentioned, expressing confusion about their derivation.
  • One participant provides a link to external resources that may clarify the concepts discussed.
  • A later reply indicates that the provided resource was helpful in understanding the topic better.

Areas of Agreement / Disagreement

The discussion includes some confusion regarding the derivation of j and m values, and while some participants find external resources helpful, there is no consensus on the derivation methods or the implications of the total angular momentum equation.

Contextual Notes

Participants express uncertainty about the derivation of specific quantum states and the definitions of j and m, indicating potential limitations in their understanding or the information available.

Who May Find This Useful

Readers interested in quantum mechanics, particularly those studying angular momentum in quantum systems, may find this discussion relevant.

alwaysstuck
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In an electron system (spin =1/2, l = 1) the total angular momentum will be J=S+L
 
Last edited:
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Start with j=3/2, m=3/2, that is |1,+1/2>. How do you obtain other states ?
 
Where did the j and m values you stated come from?
I have no idea
 
ah, that helps a lot thanks :)
 

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