### From Crystal Optics to Dirac Operators--A Spectral Theory

**Ben-Artzi, M ***(Hebrew University of Jerusalem)*

Thursday 02 August 2012, 16:00-16:45

Seminar Room 1, Newton Institute

#### 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.

#### Presentation

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