We prove that [0, ∞) is an essential support for the absolutely continuous part of the spectral measure associated with the magnetic Schrödinger operator (i∇ + A)2 in \( L^2 \left( {\mathbb{R}^v } \right) \), given certain conditions on the decay of A. Bibliography: 8 titles. Illustrations: 1 figure.
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Translated from Problemy Matematicheskogo Analiza, No. 38, 2008, pp. 121–143.
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Enblom, A. On the absolutely continuous spectrum of magnetic Schrödinger operators. J Math Sci 156, 699–723 (2009). https://doi.org/10.1007/s10958-009-9282-9
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DOI: https://doi.org/10.1007/s10958-009-9282-9