Trace formula for the magnetic Laplacian on a compact hyperbolic surface

Autor:	Kordyukov, Yuri A., Taimanov, Iskander A.
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry Mathematical Physics Mathematics - Dynamical Systems Mathematics - Spectral Theory
Zdroj:	Regular and Chaotic Dynamics, 2022, vol. 27, no. 4, pp. 460-476
Druh dokumentu:	Working Paper
DOI:	10.1134/S1560354722040050
Popis:	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. Comment: 20 pages, v3. Final version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.06055 Zobrazit plný text záznamu View this record from Arxiv