Week of 1/14/08
From Physiki
 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
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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
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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)
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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.
