Sharp spectral estimates for the perturbed Landau Hamiltonian with $L^p$ potentials

Jean-Claude Cuenin

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arXiv · 1607.05648

Sharp spectral estimates for the perturbed Landau Hamiltonian with $L^p$ potentials

Jean-Claude Cuenin

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Abstract

We establish a sharp estimate on the size of the spectral clusters of the Landau Hamiltonian with $L^p$ potentials in two dimensions as the cluster index tends to infinity. In three dimensions, we prove a new limiting absorption principle as well as a unique continuation theorem. The results generalize to higher dimensions.

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BibTeX RIS

Jean-Claude Cuenin. 2016-07-19. Sharp spectral estimates for the perturbed Landau Hamiltonian with $L^p$ potentials. https://arxiv.org/abs/1607.05648

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