Calculate the angles that the angular momentum vector L can make with the z-axis for l= 1,
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 represents the vectors Land Lz as usual, with arrows proportional to their magnitudes and pointing in the correct directions. L and Lz form a right triangle, with L being the hypotenuse and Lz the adjacent side. This means that the ratio of Lz to L is the cosine of the angle of interest. We can find L and Lz using and .
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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 the full answer
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