Question: Calculate the angles that the angular momentum vector L can make with the z-axis for l= 1, as illustrated in Figure 30.52. Strategy Figure 30.52

Calculate the angles that the angular momentum vector L can make with the z-axis for l= 1, as illustrated in Figure 30.52.

Strategy

Figure 30.52 represents the vectors Land L_z as usual, with arrows proportional to their magnitudes and pointing in the correct directions. L and L_z form a right triangle, with L being the hypotenuse and L_z the adjacent side. This means that the ratio of L_z to L is the cosine of the angle of interest. We can find L and L_z using and . z-axis m = 1! L m, 0 L 0 83 m = 0 L

L = (1+1) 2x

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We are given l 1 so that m 1 can be 1 0 or 1 Thus L has the value given by L z can have t... View full answer

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