Quasimodes of Seba billiards
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About this item
| Description: |
Winn, B (Loughborough)
Tuesday 15 July 2008, 16:00-16:45 |
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| Created: | 2008-07-18 12:52 | ||
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| Collection: | Mathematics and Physics of Anderson Localization: 50 Years After | ||
| Publisher: | Isaac Newton Institute | ||
| Copyright: | Winn, B | ||
| Language: | eng (English) | ||
| Credits: |
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| Abstract: | We construct quasimodes for the Seba billiard and related systems. The Seba billiard is a rectangle billiard with a delta-function potential. By making further assumptions on the spectrum of the rectangle billiard, we are able to prove that the quasimodes, in fact, approximate a sequence of true eigenmodes. The additional hypothesis required is related to the Berry-Tabor conjecture for energy levels of integrable quantum systems. |
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