Which of the following commutation relations holds for the angular momentum operators in quantum mechanics?OPTIONS [Lx, Ly] = iħ [Lx, Ly] = 0 [Lx, Ly] = -iħLz [Lx, Ly] = iħLz

What is the commutation relationship between the total angular momentum operator L2 and any of its components, e.g., Lx​?OPTIONS [L2,Lx​]= -iℏLx [L2,Lx​]=0 [L2,Lx​]= iℏLx [L2,Lx​]= ℏ

Consider a system of total angular momentum j=1 and the operators are given by,Choose the correct options. (Marks: 4)Calculate and , when jx = -h/2πOPTIONS = h2/8π2 and = 0 = 0 and = h2/8π2 = 2 and = h2/π2 = 0 and = h/8π2

When the commutation relationship [Lx, Ly] = iℏLz true, what does it imply about the simultaneous measurement of Lx and Ly?OPTIONS Lx​ and Ly​ cannot be measured simultaneously with certainty. Lx​ and Ly​ are compatible observables. The product of the uncertainties in Lx​ and Ly​ is zero. The product of the uncertainties in Lx​ and Ly​ is ℏ.

The raising (J+) and lowering (J_) operators are defined by J+=JX+ iJy and J_ = JX- iJy.Read the following passage to answer the given questions based on it. Choose the correct options. (Marks: 1)What would be [Jy, J±]OPTIONS ħJx -iħJz -iħJy -iħJ

he raising (J+) and lowering (J_) operators are defined by J+=JX+ iJy and J_ = JX- iJy.Read the following passage to answer the given questions based on it. Choose the correct options. (Marks: 1)What would be [Jx, J ±]?OPTIONS ±ħJz ±ħJ ±ħJy ±iħJz