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classes:2009:fall:phys4101.001:lec_notes_0925

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classes:2009:fall:phys4101.001:lec_notes_0925 [2009/09/28 23:53] x500_moore616classes:2009:fall:phys4101.001:lec_notes_0925 [2009/09/28 23:56] (current) x500_moore616
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   *Use dimensionless form of DE   *Use dimensionless form of DE
-<math>let \xi = \sqrt{\frac{m\omega}{\hbar}} x </math>+let <math> \xi = \sqrt{\frac{m\omega}{\hbar}} x </math>
 and <math> K=\frac{2E}{\hbar\omega}. \ \ \ \ \ \ \ \  (C) </math> and <math> K=\frac{2E}{\hbar\omega}. \ \ \ \ \ \ \ \  (C) </math>
  
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 Differentiate and then Schrodinger's equation becomes Differentiate and then Schrodinger's equation becomes
  
-<math> \frac{\partial^2h(\xi)}{\partial \xi^2}=-2h\xi(\xi)+(K-1)(h(\xi)=0 </math> (A)+<math> \frac{\partial^2h(\xi)}{\partial \xi^2}=-2h\xi(\xi)+(K-1)(h(\xi)=0 \ \ \ \ \ \ \ \ (A) </math>
  
  
classes/2009/fall/phys4101.001/lec_notes_0925.1254199987.txt.gz · Last modified: 2009/09/28 23:53 by x500_moore616