How do you read Clebsch-Gordon tables?

  • Thread starter TPDC130
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In summary, the conversation discusses a particle physics assignment that involves reading a table from a website. The individual is seeking help and suggestions on how to understand the table, particularly in relation to angular momentum decompositions and C-G coefficients. It is recommended to look at worked out examples to better understand the table.
  • #1
TPDC130
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I have a particle physics assignment due and I am confused as how to read this table. Any help is greatly appreciated
 
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  • #3
I also had difficulty with the tables the first time through. Unfortunately, it doesn't really lend itself to online explanation: "this thing here, goes here, and that thing there goes there, and ..."

What you might try is to get some angular momentum decompositions already worked out - 1 + 1 = 1 is a particularly good one - and then try to match terms with the table of C-G coefficients. It's easier to see how this works when going "the other way".
 

1. What are Clebsch-Gordon tables?

Clebsch-Gordon tables are a tool used in quantum mechanics to calculate the possible values of a composite quantum system from the known values of its individual components.

2. How do you read Clebsch-Gordon tables?

To read a Clebsch-Gordon table, you first need to identify the quantum numbers of the individual components. Then, locate the corresponding row and column in the table to find the possible combined states and their respective probabilities.

3. What do the numbers in Clebsch-Gordon tables represent?

The numbers in Clebsch-Gordon tables represent the probabilities of a composite quantum system occupying a certain combined state, given the quantum numbers of its individual components.

4. What is the significance of Clebsch-Gordon tables in quantum mechanics?

Clebsch-Gordon tables are significant in quantum mechanics because they allow for the prediction of possible states and their probabilities in a composite quantum system, which is crucial for understanding and making predictions about quantum systems.

5. Are there any limitations to using Clebsch-Gordon tables?

While Clebsch-Gordon tables are a useful tool in quantum mechanics, they have limitations. They are only applicable to systems with two or more components, and they do not account for any interactions between the components. Additionally, they may not accurately predict the actual values in a real system, as they are based on idealized conditions.

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