Jun-Yong Zhang

Long-Time Dispersion and Threshold Resonances for the Landau Hamiltonian on the Hyperbolic Plane

A uniform magnetic field completely suppresses long-time dispersion for the Euclidean Landau Hamiltonian. We show that negative curvature fundamentally changes this behavior. For the Landau Hamiltonian with arbitrary field strength $B\in\mathbb R$ on the hyperbolic plane $\mathbb H$, we establish sharp dispersive estim...