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arXiv · 1602.00141

Equidistribution of phase shifts in trapped scattering

Maxime Ingremeau
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Abstract

We prove an equidistribution result for the eigenvalues of the scattering matrix associated to an operator of the form $-h^2\Delta + V-1$, where $V\in C_c^\infty(\mathbb{R}^d)$ is a compactly supported potential, under the assumption that the incoming and outgoing sets of the classical dynamics have zero Liouville measure. This extends a recent result of Gell-Redman, Hassell and Zelditch, where the authors proved equidistribution of the eigenvalues of the scattering matrix under the assumption that the trapped set is empty.

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Maxime Ingremeau. 2016-01-30. Equidistribution of phase shifts in trapped scattering. https://arxiv.org/abs/1602.00141

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