p40_054 - n there are n diFerent values of l . Also, each...

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54. (a) The allowed values of l for a given n are 0 , 1 , 2 ,...,n 1. Thus there are n diFerent values of l . (b) The allowed values of m l for a given l are l , l +1, ··· , l .Thu sthe rea re2 l +1diFerentvalues of m
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Unformatted text preview: n there are n diFerent values of l . Also, each of these l s can have 2 l + 1 diFerent values of m l [see part (b) above]. Thus, the total number of m l s is n 1 X l =0 (2 l + 1) = n 2 ....
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