Scattering Theory with Unitary Twists

We study the spectral properties of the Laplace operator associated to a hyperbolic surface in the presence of a unitary representation of the fundamental group. Following the approach by Guillopé and Zworski, we establish a factorization formula for the twisted scattering determinant and describe t...

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Bibliographic Details
Published inarXiv.org
Main Authors Doll, Moritz, Fedosova, Ksenia, Pohl, Anke
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 22.02.2022
Subjects
Operators (mathematics)
S matrix theory
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Summary:We study the spectral properties of the Laplace operator associated to a hyperbolic surface in the presence of a unitary representation of the fundamental group. Following the approach by Guillopé and Zworski, we establish a factorization formula for the twisted scattering determinant and describe the behavior of the scattering matrix in a neighborhood of \(1/2\).
ISSN:2331-8422