ch39-p009 - 9. Let the quantum numbers of the pair in...

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9. Let the quantum numbers of the pair in question be n and n + 1, respectively. We note that EE nh mL mL mL nn + −= + + 1 2 2 2 22 2 2 2 1 88 21 8 b g b g Therefore, E n +1 E n = (2 n + 1) E 1 . Now E E E n E + −== = = + 15 2 11 1 52 1 bg , which leads to 2 n + 1 = 25, or n = 12. Thus, (a) The higher quantum number is n+ 1 = 12+1 = 13. (b) The lower quantum number is
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