On the Absolutely Continuous Spectrum of Multi-Dimensional Schrödinger Operators with Slowly Decaying Potentials
On the Absolutely Continuous Spectrum of Multi-Dimensional Schrödinger Operators with Slowly Decaying Potentials
复制标题
势缓慢衰减的多维薛定谔算子的绝对连续谱
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
O. Safronov
中科院分区：
文献类型：
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作者：
O. Safronov
我们考虑L2(Rd)中的一个多维薛定谔算子−Δ+V，找到了关于势V的条件，保证了该算子的绝对连续谱本质上是由正实直线支撑的。我们证明了一些超越L1+Lp情形的结果
We consider a multi-dimensional Schrödinger operator −Δ+V in L2(Rd) and find conditions on the potential V which guarantee that the absolutely continuous spectrum of this operator is essentially supported by the positive real line. We prove some results which go beyond the case L1+Lp with p