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I know that [tex]\frac{1}{2}\otimes \frac{1}{2} = 1\oplus 0[/tex] What would be a strategy to proving the general statement for spin representations [tex]j\otimes s =\bigoplus_{l=|s-j|}^{|s+j|} l[/tex]

- Thread starter elduderino
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- #1

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I know that [tex]\frac{1}{2}\otimes \frac{1}{2} = 1\oplus 0[/tex] What would be a strategy to proving the general statement for spin representations [tex]j\otimes s =\bigoplus_{l=|s-j|}^{|s+j|} l[/tex]

- #2

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This is typically treated in every book of quantum mechanics. Use for example the second volume of Cohen - Tannoudji's text. The famous grid-proof is there. Or any books on group theory with applications to physics (this is typically the Clebsch-Gordan theorem for SU(2)).

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- #3

Bill_K

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