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arxiv: math-ph/0501046 · v2 · submitted 2005-01-17 · 🧮 math-ph · math.MP· math.SP

On the preservation of absolutely continuous spectrum for Schrodinger operators

classification 🧮 math-ph math.MPmath.SP
keywords operatorspreservationschrodingerspectrumabsolutelybethecaleyconsidered
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We present general principles for the preservation of a.c. spectrum under weak perturbations. The Schrodinger operators on the strip and on the Caley tree (Bethe lattice) are considered.

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