Proving <J,2;J,0|J,J>=<J,2;-J,0|J,-J>

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Homework Help Overview

The discussion revolves around proving an equality involving Clebsch-Gordan coefficients, specifically the relation =. Participants are exploring the validity of this expression and its derivation.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Some participants question the correctness of the original statement, while others reference empirical observations from Clebsch-Gordan tables to support its validity. There is also a clarification attempt regarding the specific notation used in the expression.

Discussion Status

The discussion is ongoing, with participants expressing differing views on the correctness of the expression. Some have provided anecdotal evidence from external sources, while others seek clarification on the notation and implications of the statement.

Contextual Notes

Participants are working within the framework of Clebsch-Gordan coefficients and are referencing a specific template for notation. There is an indication of confusion regarding the original expression and its potential alternatives.

quasar987
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Hi,

How can I prove that

[tex]<J,2;J,0|J,J>=<J,2;-J,0|J,-J>[/tex]

?

(my "template" is [tex]<j_1,j_2;m_1,m_2|JM>[/tex])thx
 
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Where did you get it from ? I don't think it's correct...
 
It's correct "experimentally" in the sense that I'Ve looked in a C-G table and it's always true.

And according to a classmate of mine, he went to see the teaching assistant and he told him it was correct.
 
quasar987 said:
Hi,

How can I prove that

[tex]<J,2;J,0|J,J>=<J,2;-J,0|J,-J>[/tex]

?

(my "template" is [tex]<j_1,j_2;m_1,m_2|JM>[/tex])


thx

You mean what you wrote, and not
[tex]<J,2;J,0|J,-J>=<J,2;-J,0|J,J>[/tex], right?
(at first I thought you had written what I just wrote and I saw a way to prove it easily but I don't see right away how to prove the wone you gave)
 
i mean what i wrote
 

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