Solved: The vector model ( 69) gives some insight into
Chapter , Problem 70(choose chapter or problem)
The vector model ( 69) gives some insight into theuncertainty principle for angular momentum, which isA.Lz A(f> > hfor the z component. Here cf> is the angular positionmeasured in the plane perpendicular to the z axis. Once mtfor an atom is known, Lz is known precisely, so AL z = 0.(a) What does this tell us about 0? (b) What can you say aboutLx and Ly , which are not quantized (only L and L z are)?(c) Show that although L x and L y are not quantized,nonetheless (L x + Ly)1/2 = [f( f + 1) - m j]1/2 h is.
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