Absolutely continuous spectrum of a typical Schrödinger operator with a slowly decaying potential
Absolutely continuous spectrum of a typical Schrödinger operator with a slowly decaying potential
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具有缓慢衰减势的典型薛定谔算子的绝对连续谱
DOI：
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发表时间：
2011
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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
我们考虑具有实数$t$的多维Schr ' odinger算子族$- δ + V$。在我们的模型中，势能V以一种特殊的方式在无穷大处衰减。证明了该算子的绝对连续谱几乎对每一个$t$覆盖区间$[0,inty)$。
We consider a family of multi-dimensional Schr"odinger operators $-Delta+t V$ with a real $t$. The potential $V$ in our model decays at infinity in a special way. We prove that the absolutely continuous spectrum of this operator covers the interval $[0,infty)$ for almost every $t$.