Prove that the total angular momentuan operators actug on the product repecsentation (1) (2)m(2)) in the form *< *u| 7

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Prove That The Total Angular Momentuan Operators Actug On The Product Repecsentation 1 2 M 2 In The Form U 7 1 (2.8 KiB) Viewed 85 times

Prove That The Total Angular Momentuan Operators Actug On The Product Repecsentation 1 2 M 2 In The Form U 7 2 (11.31 KiB) Viewed 85 times

Prove That The Total Angular Momentuan Operators Actug On The Product Repecsentation 1 2 M 2 In The Form U 7 3 (5.47 KiB) Viewed 85 times

PLEASE WRITE THE STEP BY STEP WITH ALL THE ALGEBRA.
Prove that the total angular momentuan operators actug on the product repecsentation (1) (2)m(2)) in the form

*< *u| 778 </u]+ < *ul78 </ull+ * (< >ul 78 </u[+ < >ul® </ul)] = = וו ul 78 </ul7+ < >ul® </ul< > ה 7(ul® </ul< >)

satisfy the algebra (2), 2)) =itutijk L), since the angular momentum operators 2") and 2.2, which act on each factor, fulfill it separately. .