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It's fine with me if you want to do it that way because I
essentially wrote that equations for you on the board. Another way
to do it would be to find the expectation value of the energy using
the wavefunction. That would require a double integal of the form
<Y|H|Y> using the notation I showed you in class the other
day. In this latter case you would have to use the Hamiltonian with
the Laplacian in spherical polar coordinates.<br>
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On 09/16/2012 03:10 PM, Christine.O.Conroy wrote:
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<div style="direction: ltr;font-family: Tahoma;color:
#000000;font-size: 10pt;">9.33 is listed as a problem that might
need a program like mathmatica to help solve it, but it seems
pretty simple to me so I was wondering if there is more work I
should be showing.
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<div>It asks us to calculate the rotational energy and the
angular momentum for a wavefunction given by the spherical
harmonic Y01. </div>
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<div>Just from Y01 you can see that l=1 so using the equation E=
(l(l+1)hbar^2 )/2I you find that E= hbar^2/I. </div>
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<div>I am think maybe it wants us to derive that equation (9.144
from the book) from the equation 9.142, but I am not sure how
to do that. </div>
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<pre class="moz-signature" cols="72">--
Andrew J. Pounds, Ph.D. (<a class="moz-txt-link-abbreviated" href="mailto:pounds@theochem.mercer.edu">pounds@theochem.mercer.edu</a>)
Associate Professor of Chemistry and Computer Science
Mercer University, Macon, GA 31207 (478) 301-5627
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