Scattering Theory with Unitary Twists
Spectral Theory
2022-02-23 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
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 Guillop\'e and Zworski, we establish a factorization formula for the twisted scattering determinant and describe the behavior of the scattering matrix in a neighborhood of .
Cite
@article{arxiv.2202.10764,
title = {Scattering Theory with Unitary Twists},
author = {Moritz Doll and Ksenia Fedosova and Anke Pohl},
journal= {arXiv preprint arXiv:2202.10764},
year = {2022}
}
Comments
43 pages