348-problem8 - ˆ ˆ ˆ ˆ ˆ x y y z z x L L L L L L Also...

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Chem. 540 Instructor: Nancy Makri PROBLEM 8 The operators for the three components , , x y z L L L of the angular momentum vector are: ˆ ˆˆ ˆ ˆ x z y L yp zp = - , ˆ ˆ ˆˆ ˆ y x z L zp xp = - , ˆ ˆˆ ˆˆ z y x L xp yp = - . Calculate the commutators ˆ
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Unformatted text preview: ˆ ˆ ˆ ˆ ˆ [ , ], [ , ], [ , ] x y y z z x L L L L L L . Also calculate the commutator 2 ˆ ˆ [ , ] z L L where 2 L is the square of the angular momentum vector....
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