Showing posts with label multiple scales. Show all posts
Showing posts with label multiple scales. Show all posts
Saturday, 29 November 2008
Solution Set 7 posted
I have posted the solutions for problem sheet 7. Note the separate document for problem 7.6.
Sunday, 16 December 2007
Revised Answer Sheet 7 + typos in lecture notes
I have posted a revised answer key for the 7th problem sheet. I have corrected some typos and added a few clarifying remarks.
Please also note a typo in the lecture notes on turning points in WKB solution:
(1) With a transformation of the form [1 + delta * z = x], you want delta = epsilon^{2/3}
(Take a look at the WKB solution to problem 7.6 and you'll see this same scaling. This is what one gets for 'typical' first-order turning points, and that's what leads to Airy's equation.)
Please also note a typo in the lecture notes on turning points in WKB solution:
(1) With a transformation of the form [1 + delta * z = x], you want delta = epsilon^{2/3}
(Take a look at the WKB solution to problem 7.6 and you'll see this same scaling. This is what one gets for 'typical' first-order turning points, and that's what leads to Airy's equation.)
Thursday, 29 November 2007
WKB solution for problem 7.6
A WKB solution (courtesy Peter Howell) for problem 7.6 has now been posted.
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