Spectral edge regularity of magnetic Hamiltonians

Horia D. Cornean; Radu Purice

doi:10.1112/jlms/jdv019

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arXiv · 1406.6624

Spectral edge regularity of magnetic Hamiltonians

Horia D. Cornean·Radu Purice

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Abstract

We analyse the spectral edge regularity of a large class of magnetic Hamiltonians when the perturbation is generated by a globally bounded magnetic field. We can prove Lipschitz regularity of spectral edges if the magnetic field perturbation is either constant or slowly variable. We also recover an older result by G. Nenciu who proved Lipschitz regularity up to a logarithmic factor for general globally bounded magnetic field perturbations.

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BibTeX RIS

Horia D. Cornean, Radu Purice. 2014-06-25. Spectral edge regularity of magnetic Hamiltonians. https://doi.org/10.1112/jlms%2Fjdv019

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