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arXiv · 2104.13589

The Birman-Krein formula for differential forms and electromagnetic scattering

Alexander Strohmaier·Alden Waters
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Abstract

We consider scattering theory of the Laplace Beltrami operator on differential forms on a Riemannian manifold that is Euclidean near infinity. Allowing for compact boundaries of low regularity we prove a Birman-Krein formula on the space of co-closed differential forms. In the case of dimension three this reduces to a Birman-Krein formula in Maxwell scattering.

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Alexander Strohmaier, Alden Waters. 2021-04-28. The Birman-Krein formula for differential forms and electromagnetic scattering. https://arxiv.org/abs/2104.13589

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