= For a particle on a sphere having l 3, work out the magnitude of the angular momentum (L) and of its possible projections (L₂ = 1₂) onto the z-axis in units of ħ. Give the angle from the z-axis for the possible values of

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For a particle on a sphere having l
3, work out the magnitude of the angular
momentum (L) and of its possible projections
(L₂ = 1₂) onto the z-axis in units of ħ. Give the
angle from the z-axis for the possible values of
the projections and sketch a diagram.
Comment on our knowledge of the possible
projections of the angular momentum onto the
x- or y-axis.
Transcribed Image Text:= For a particle on a sphere having l 3, work out the magnitude of the angular momentum (L) and of its possible projections (L₂ = 1₂) onto the z-axis in units of ħ. Give the angle from the z-axis for the possible values of the projections and sketch a diagram. Comment on our knowledge of the possible projections of the angular momentum onto the x- or y-axis.
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