Week of 11/26
From Physiki
(Difference between revisions)
| (11 intermediate revisions by one user not shown) | |||
| Line 1: | Line 1: | ||
| − | + | Read Chapter 13 of Boas. I am NOT going to cover separation of variables in Cartesian coordinates in class. I assume you know this. If not, review from my lecture notes (below) or Boas. We will jump right into separation of variables in spherical coordinates. | |
---- | ---- | ||
| − | |||
| − | |||
| Line 28: | Line 26: | ||
'''Laplaces equation in spherical coordinates''' | '''Laplaces equation in spherical coordinates''' | ||
| − | But first a refresher on spherical coordinates | + | But first a refresher on spherical coordinates. The link to Mathworld gives a complete derivation of all the standard derivatives and differential operators in spherical coordinates. |
| + | |||
| + | I need feedback from you as to whether you need to see this derived in class. | ||
[http://mathworld.wolfram.com/SphericalCoordinates.html from mathworld] | [http://mathworld.wolfram.com/SphericalCoordinates.html from mathworld] | ||
| Line 45: | Line 45: | ||
{{mathematica|filename=2ddrummodes.nb|title=2ddrummodes.nb}} | {{mathematica|filename=2ddrummodes.nb|title=2ddrummodes.nb}} | ||
| + | |||
| + | |||
| + | [http://www.phys.unsw.edu.au/music/guitar/patterns.html Chladni figures for a guitar front plate] | ||
| + | |||
| + | |||
| + | {{PDF|filename=11_26_07.pdf|title=lecture notes from 11/26/07}} | ||
| + | |||
| + | |||
| + | {{PDF|filename=11_28a_07.pdf|title=lecture notes from 11/28/07}} | ||
| + | |||
| + | |||
| + | {{PDF|filename=11_28_07.pdf|title=lecture notes from 11/28/07}} | ||
| + | |||
| + | {{PDF|filename=11_30_07.pdf|title=lecture notes from 11/30/07}} | ||
| + | |||
| + | |||
| + | {{mathematica|filename=Legendre_example.nb|title=simple Legendre example}} | ||
Latest revision as of 16:59, 30 November 2007
Read Chapter 13 of Boas. I am NOT going to cover separation of variables in Cartesian coordinates in class. I assume you know this. If not, review from my lecture notes (below) or Boas. We will jump right into separation of variables in spherical coordinates.
 Download Scales lecture notes on separation of variables and special functions
|
Wikipedia entry on Ernst Chladni
bouncing ball modes and quantum chaos
Laplaces equation in spherical coordinates
But first a refresher on spherical coordinates. The link to Mathworld gives a complete derivation of all the standard derivatives and differential operators in spherical coordinates.
I need feedback from you as to whether you need to see this derived in class.
All about spherical harmonics from MathWorld
 Download 2ddrummodes.nb
|
Chladni figures for a guitar front plate
| Download lecture notes from 11/26/07
|
| Download lecture notes from 11/28/07
|
| Download lecture notes from 11/28/07
|
| Download lecture notes from 11/30/07
|
| Download simple Legendre example
|
