Trace formula for the magnetic Laplacian on a compact hyperbolic surface
Differential Geometry
2022-08-30 v3 Mathematical Physics
Dynamical Systems
math.MP
Spectral Theory
Abstract
We compute the trace formula for the magnetic Laplacian on a compact hyperbolic surface of constant curvature with constant magnetic field for energies above the Mane critical level of the corresponding magnetic geodesic flow. We discuss the asymptotic behavior of the coefficients of the trace formula when the energy approaches the Mane critical level.
Keywords
Cite
@article{arxiv.2202.06055,
title = {Trace formula for the magnetic Laplacian on a compact hyperbolic surface},
author = {Yuri A. Kordyukov and Iskander A. Taimanov},
journal= {arXiv preprint arXiv:2202.06055},
year = {2022}
}
Comments
20 pages, v3. Final version