论文标题
紧凑双曲表面上的磁性laplacian的痕量公式
Trace formula for the magnetic Laplacian on a compact hyperbolic surface
论文作者
论文摘要
我们在恒定曲率的紧凑双曲表面上计算磁性拉普拉斯的痕量公式，恒定磁场，以高于鬃毛临界水平的能量相应的磁性测量流。我们讨论当能量接近鬃毛临界水平时，痕量公式系数的渐近行为。
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.
