Abstract
In this paper we study spectral estimates for perturbations of the Landau Hamiltonian by a pseudo-differential operator with non-smooth Weyl symbol in a modulation space. We obtain an upper bound for the counting function of the eigenvalues in a spectral gap.
Acknowledgments
The author is thankful to the referee for the numerous corrections and helpful suggestions given for the improvement of the present paper.
Citation
Jacques Barbe. "Spectral bounds for non-smooth perturbations of the landau Hamiltonian." Osaka J. Math. 60 (4) 777 - 797, October 2023.
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