We compute the trace formula for the magnetic Laplacian on a compact hyperbolic
surface of constant curvature with a 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:
trace formula, magnetic Laplacian, magnetic geodesic flow
Citation:
Kordyukov Y. A., Taimanov I. A., Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface, Regular and Chaotic Dynamics,
2022, Volume 27, Number 4,
pp. 460-476