The Birman-Krein formula for differential forms and electromagnetic scattering

• Main Authors: Strohmaier, Alexander, Waters, Alden
• Format: Journal Article
• Language: English
• Published: 28.04.2021
• Subjects: Mathematics - Analysis of PDEs; Mathematics - Mathematical Physics; Mathematics - Spectral Theory; Physics - Mathematical Physics

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 thre...