Dispersive estimates for the Landau Hamiltonian on the hyperbolic plane
Huanqing Guo, Haoran Wang, Junyong Zhang, Jiqiang Zheng
Abstract
In this paper, We obtain dispersive estimates for solutions to the Schrödinger equation with a uniform magnetic field on the hyperbolic plane \(H\). The key ingredient is an explicit representation formula for the kernel of the corresponding Schrödinger propagator. As a consequence, we prove the corresponding Strichartz estimates for all admissible pairs on \(H\).
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