04-273 Oleg Safronov

Multi-dimensional Schr\"odinger operators with no negative spectrum (157K, Postscript) Sep 3, 04

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Abstract. We consider multi-dimensional Schr\"odinger operators $-\Delta \pm V$ with a bounded real potential $V$. We prove that if both $-\Delta + V$ and $-\Delta - V$ have no spectrum inside $(-\infty,0)$, then they must have absolutely continuous spectrum essentially supported by the positive real line.

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