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Sharp Spectral Estimates for the Perturbed Landau Hamiltonian with \(\varvec{L^{p}}\) Potentials

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Abstract

We establish a sharp uniform estimate on the size of the spectral clusters of the Landau Hamiltonian with (possibly complex-valued) \(L^p\) potentials as the cluster index tends to infinity.

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  1. Mathematisches Institut, Ludwig-Maximilians-Universität München, 80333, Munich, Germany

    Jean-Claude Cuenin

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  1. Jean-Claude Cuenin
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Cuenin, JC. Sharp Spectral Estimates for the Perturbed Landau Hamiltonian with \(\varvec{L^{p}}\) Potentials. Integr. Equ. Oper. Theory 88, 127–141 (2017). https://doi.org/10.1007/s00020-017-2367-9

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  • DOI: https://doi.org/10.1007/s00020-017-2367-9

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