8.8 Calculate by direct integration the expectation values (r) and (1/r) of the radial position for the ground state of hydrogen. Compare your results to the quoted expressions in Eq. (8.89) and discuss your results. Did you expect that (1/r) + 1/(r)? Use your result for (1/r) to find the expectation value of the kinetic energy of the ground state of hydrogen and discuss your result.

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8.8 Calculate by direct integration the expectation values (r) and (1/r) of the radial position for
the ground state of hydrogen. Compare your results to the quoted expressions in Eq. (8.89)
and discuss your results. Did you expect that (1/r) # 1/(r)? Use your result for (1/r) to
find the expectation value of the kinetic energy of the ground state of hydrogen and discuss
your result.
8.9 Calculate by direct integration the expectation value of the radial position for each of the
Transcribed Image Text:8.8 Calculate by direct integration the expectation values (r) and (1/r) of the radial position for the ground state of hydrogen. Compare your results to the quoted expressions in Eq. (8.89) and discuss your results. Did you expect that (1/r) # 1/(r)? Use your result for (1/r) to find the expectation value of the kinetic energy of the ground state of hydrogen and discuss your result. 8.9 Calculate by direct integration the expectation value of the radial position for each of the
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