p40_053 - n = 2 and replace a in the given formula with 2...

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53. The radial probability function for the ground state of hydrogen is P ( r )=(4 r 2 /a 3 ) e 2 r/a ,whe re a is the Bohr radius. (See Eq. 40-31.) We want to evaluate the integral R 0 P ( r ) dr . Eq. 15 in the integral
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Unformatted text preview: n = 2 and replace a in the given formula with 2 /a and x with r . Then Z ∞ P ( r ) dr = 4 a 3 Z ∞ r 2 e − 2 r/a dr = 4 a 3 2 (2 /a ) 3 = 1 ....
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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.

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