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Compute the exact expectations
, <r> and
for the ground state of hydrogen. In our uncertainty
principle analysis, we assumed that these were given approximately by
,
and
, respectively, where
. Now that you know the exact correct results, what
was the greatest factor by which we were in error in making this assumption?
Math hint: You may find the second line of the math hint for problem 1
useful in doing this problem as well.
Prof. Tomas Alberto Arias
Thu Oct 12 17:30:59 EDT 1995