具有快振荡紧支撑势的Schroedinger算子的谱
On spectrum of a Schroedinger operator with a fast oscillating compactly supported potential
摘要：
本文研究了受快振荡紧支势扰动的Schroedinger算子的本征值出现在本质谱中的现象。我们证明了存在和不存在这样的特征值的充分条件。如果存在，我们得到了它的渐近展开式的首项。
英文摘要：
We study the phenomenon of an eigenvalue emerging from essential spectrum of a Schroedinger operator perturbed by a fast oscillating compactly supported potential. We prove the sufficient conditions for the existence and absence of such eigenvalue. If exists, we obtain the leading term of its asymptotics expansion.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
