Question
Consider states with angular momentum quantum number $l$ = 2. (a) In units of $\hslash$, what is the largest possible value of L$_z$? (b) In units of $\hslash$, what is the value of $L$? Which is larger: $L$ or the maximum possible $L$$_z$? (c) For each allowed value of $L$$_z$ , what angle does the vector $\vec L$ make with the +z -axis? How does the minimum angle for $l$ = 2 compare to the minimum angle for $l$ = 3 calculated in Example 41.3?
Step 1
The possible values of $m_l$ (the magnetic quantum number) range from $-l$ to $l$ in steps of 1. Therefore, the possible values of $m_l$ are $-2, -1, 0, 1, 2$. Show more…
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