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<div class="moz-cite-prefix">Good question. I mentioned
"confirming" the eigenvalues so that you would have some
confidence in using my program to find find the eigenvalues. What
I suggest you do is create the plot (selection 1) for either the
even or odd parity functions and then, with the plot on the
screen, try to pick values that bound the roots (the red
diamonds). The root finding algorithm (selection 2) will then
find the actual roots (alpha values) accurate to several decimal
places. If you can recreate the values from the project
description document example table, then you clearly know how to
use the program to produce the results for the potential well data
I sent you.</div>
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<div class="moz-cite-prefix">It's a two step process -- use the plot
to figure out where the eigenvalues are and then use the solver
mechanism to get the accurate value. In the event that it is
hard to determine the values to bound eigenvalue for the solver
mechanism, you can change the scale of the x-axis to zero in on
points.</div>
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<p>Stating that you verified you could reproduce "standards" is a
perfectly legitimate way to demonstrate that your scientific
method is working! <br>
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<div class="moz-cite-prefix">On 11/20/23 18:38, wrote:<br>
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cite="mid:d3160b2891bc441dac54e7c2f685d83f@SA1PR01MB6528.prod.exchangelabs.com">
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<span style="font-family: Arial, Helvetica, sans-serif;">Hi Dr.
Pounds, </span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">I was
wondering if is there a specific way that you want us to
confirm our Eigenvalues. I was just checking to make sure that
the alpha values that I got matched up where the diamond
markers on the graph and that the values were reasonable
compared to the Example table. Would this be a sufficient
explanation for me to include? </span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">Thank
you,</span></div>
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<div class="moz-signature">-- <br>
<b><i>Andrew J. Pounds, Ph.D.</i></b><br>
<i>Professor of Chemistry and Computer Science</i><br>
<i>Director of the Computational Science Program</i><br>
<i>Mercer University, Macon, GA 31207 (478) 301-5627</i></div>
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