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Low energy spectral and scattering theory for relativistic Schroedinger operators

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Spectral Theory of Relativistic Operators

We shall report some recent progress on spectral and scattering theory at low energy for the relativistic Schroedinger operators in the massless case. Some striking properties of the operator will be exhibited: (1) the absence of the zero-energy resonances; (2) the zero energy is not an accumulation point of embedded eigenvalues of the operator if 0 is not an eigenvalue. Low energy behavior of the wave operators and of the scattering operator will be presented. (This talk is based on joint work with Serge Richard.)

This talk is part of the Isaac Newton Institute Seminar Series series.

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