Week of 1/14/08
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| − | {{PDF|filename=1_14_08.pdf|title=Lecture notes for 1/14/08}} | + | {{PDF|filename=1_14_08.pdf|title=Lecture notes for 1/14/08: more probability, Gaussians}} |
| − | {{PDF|filename=Supplement1_14_08.pdf|title=Supplement for 1/14/08}} | + | {{PDF|filename=Supplement1_14_08.pdf|title=Supplement for 1/14/08: an arm-waving "derivation" of Schrodinger's equation}} |
===Some simple Mathematica examples=== | ===Some simple Mathematica examples=== | ||
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[http://www.kfunigraz.ac.at/imawww/thaller/visualization/vis.html some very nice QM visualizations] | [http://www.kfunigraz.ac.at/imawww/thaller/visualization/vis.html some very nice QM visualizations] | ||
| − | {{PDF|filename=1-16-08.pdf|title=Lecture notes for 1/16/08}} | + | {{PDF|filename=1-16-08.pdf|title=Lecture notes for 1/16/08: probability amplitudes, conservation of probability, ensembles, momentum as an operator}} |
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===1/18/08=== | ===1/18/08=== | ||
| − | [http://ticc.mines.edu/csm/wiki/images/2/29/Orthogonal_projection.pdf Refresher from | + | [http://ticc.mines.edu/csm/wiki/images/2/29/Orthogonal_projection.pdf Refresher from Fall07 PH311 class on functions as elements of vector spaces. 2/22/07.] |
| − | {{PDF|filename=1_18_08.pdf|title=Lecture notes from 1/18/08}} | + | {{PDF|filename=1_18_08.pdf|title=Lecture notes from 1/18/08: vectors in infinite dim. spaces, operators, Q(x,p) -> Q(x, -ihd/dt)}} |
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[http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Ehrenfest.html Paul Ehrenfest biography] | [http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Ehrenfest.html Paul Ehrenfest biography] | ||
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| + | '''If you've forgotten your Fourier Series, please review this before we start Chapter 2.''' | ||
Latest revision as of 16:01, 21 January 2008
 Download Lecture notes for 1/14/08: more probability, Gaussians
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| Download Supplement for 1/14/08: an arm-waving "derivation" of Schrodinger's equation
|
Some simple Mathematica examples
x = Table[Random[], {i, 100}]
ListPlot[x]
Mean[x]
Variance[x]
y = Table[Random[Integer],{i,100}]
z = Table[Random[Real, {10, 11}], {i, 100}]
 Download How coin tossing leads to a Gaussian
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| Download Basic Properties of Gaussians
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some useful java applets illustrating probability. Click on probablity.
1/16/08
some very nice QM visualizations
| Download Lecture notes for 1/16/08: probability amplitudes, conservation of probability, ensembles, momentum as an operator
|
1/18/08
Refresher from Fall07 PH311 class on functions as elements of vector spaces. 2/22/07.
| Download Lecture notes from 1/18/08: vectors in infinite dim. spaces, operators, Q(x,p) -> Q(x, -ihd/dt)
|
You'll get a chance to prove Ehrenfest's theorem in problem 1.7.
Image from the St. Andrews history page linked here:
If you've forgotten your Fourier Series, please review this before we start Chapter 2.
