- 04-273 Oleg Safronov
- Multi-dimensional Schr\"odinger operators with no negative
Sep 3, 04
(auto. generated ps),
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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.