Spectral gaps for periodic Schrödinger operators with strong magnetic fields

Yuri A. Kordyukov

doi:10.1007/s00220-004-1134-3

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Spectral gaps for periodic Schrödinger operators with strong magnetic fields

Yuri A. Kordyukov

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Abstract

We consider Schrödinger operators $H^h = (ih d+{\bf A})^* (ih d+{\bf A})$ with the periodic magnetic field ${\bf B}=d{\bf A}$ on covering spaces of compact manifolds. Under some assumptions on $\bf B$, we prove that there are arbitrarily large number of gaps in the spectrum of these operators in the semiclassical limit of strong magnetic field $h\to 0$.

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BibTeX RIS

Yuri A. Kordyukov. 2003-11-12. Spectral gaps for periodic Schrödinger operators with strong magnetic fields. https://doi.org/10.1007/s00220-004-1134-3

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