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Unitary reduction for the two-dimensional Schrödinger operator with strong magnetic field

✍ Scribed by Andrei Eckstein

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
281 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

The spectrum of the two‐dimensional Schrödinger operator with strong magnetic field and electric potential is contained in a union of intervals centered on the Landau levels. The study of the spectrum in any of these intervals is reduced by unitary equivalence to the study of a one‐dimensional operator. We give a precise description of this operator in the case when the electric potential is periodic and analytic in a strip (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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