Unformatted text preview: m s = + 1 2 . Hence, the total number of states with principal quantum number n is N = 2 n − 1 X (2 ` + 1) . Now n − 1 X 2 ` = 2 n − 1 X ` = 2 n 2 ( n − 1) = n ( n − 1) , since there are n terms in the sum and the average term is ( n − 1) / 2. Furthermore, n − 1 X 1 = n . Thus N = 2 [ n ( n − 1) + n ] = 2 n 2 ....
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics

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