From Crystal Optics to Dirac Operators--A Spectral Theory
Duration: 50 mins 31 secs
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About this item
| Description: |
Ben-Artzi, M (Hebrew University of Jerusalem)
Thursday 02 August 2012, 16:00-16:45 |
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| Created: | 2012-08-15 15:23 |
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| Collection: | Spectral Theory of Relativistic Operators |
| Publisher: | Isaac Newton Institute |
| Copyright: | Ben-Artzi, M |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | A unified approach to first-order systems of classical physics is presented. Dirac operators are included, but there is no need for the fact that the square is the Laplacian (+ constant). The main tool is a derivation of the Limiting Absorption Principle, using the geometry of the characteristic surfaces and the trace lemma. As an application, global spacetime estimates are derived, in weighted Sobolev spaces. |
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