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arXiv · 2609.12999

Dispersive estimates for the Landau Hamiltonian on the hyperbolic plane

Huanqing Guo·Haoran Wang·Junyong Zhang·Jiqiang Zheng
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Abstract

In this paper, We obtain dispersive estimates for solutions to the Schrödinger equation with a uniform magnetic field on the hyperbolic plane \(\mathbb{H}\). 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 \(\mathbb{H}\).

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Huanqing Guo, Haoran Wang, Junyong Zhang, Jiqiang Zheng. 2026-09-11. Dispersive estimates for the Landau Hamiltonian on the hyperbolic plane. https://arxiv.org/abs/2609.12999

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