Positive Measure Spectrum for Schroedinger Operators with Periodic Magnetic Fields

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dc.creatorGruber, Michael J
dc.date2002-09-19
dc.date.accessioned2026-07-07T04:29:25Z
dc.date.available2026-07-07T04:29:25Z
dc.descriptionWe study Schroedinger operators with periodic magnetic field in Euclidean 2-space, in the case of irrational magnetic flux. Positive measure Cantor spectrum is generically expected in the presence of an electric potential. We show that, even without electric potential, the spectrum has positive measure if the magnetic field is a perturbation of a constant one.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0209039
dc.identifierhttp://arxiv.org/abs/math-ph/0209039
dc.identifierJ. Math. Phys. 44.4 (2003), 1584-1599
dc.identifierdoi:10.1063/1.1556551
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57149
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject35J10; 34L40, 35Q40
dc.titlePositive Measure Spectrum for Schroedinger Operators with Periodic Magnetic Fields
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