Week of 11/13/

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[[Image:32modes.png]]
 
[[Image:32modes.png]]
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[http://mesoscopic.mines.edu/~jscales/modes modes of a Bunimovich stadium]
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[http://math.berkeley.edu/~zworski/bz3.ps.gz bouncing ball modes and quantum chaos]
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----
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'''Laplaces equation in spherical coordinates'''
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But first a refresher on spherical coordinates
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[http://mathworld.wolfram.com/SphericalCoordinates.html from mathworld]
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[http://en.wikipedia.org/wiki/Spherical_coordinates from wikipedia]
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[[Image:600px-Spherical Coordinates.png]]
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{{PDF|filename=11_13_06.pdf|title=Lecture notes from 11/13/06}}
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[http://mathworld.wolfram.com/SphericalHarmonic.html  All about spherical harmonics from MathWorld]
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{{PDF|filename=11_15_06.pdf|title=Separation of Laplace's equation.  Lecture notes from 11/15/06}}
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{{PDF|filename=11_17_06.pdf|title=Lecture notes from 11/17/06}}

Latest revision as of 15:01, 20 November 2006

Pdf.png Download Scales lecture notes on separation of variables and special functions


Wikipedia entry on Ernst Chladni


Chladni.png

32modes.png

modes of a Bunimovich stadium

bouncing ball modes and quantum chaos




Laplaces equation in spherical coordinates

But first a refresher on spherical coordinates

from mathworld

from wikipedia

600px-Spherical Coordinates.png

Pdf.png Download Lecture notes from 11/13/06

All about spherical harmonics from MathWorld


Pdf.png Download Separation of Laplace's equation. Lecture notes from 11/15/06


Pdf.png Download Lecture notes from 11/17/06
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