Question: 1 . Recall the angular momentum operators: Li = ijk xj pk , where i , j , k in { x , y ,

1. Recall the angular momentum operators: Li =ijk xj pk, where i,j,k in {x,y,z}. Show that under the modified commutation relation, the angular mo- mentum components satisfy: [ Li, Lj]= iijk Lk 1+ p2.2. Discuss how the additional p2-dependent term modifies the algebra of angular momentum compared to the standard case.

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