论文标题
周期性施罗丁运营商的光谱的渐近扩展
Asymptotic expansion of the spectrum for periodic Schrödinger operators
论文作者
论文摘要
我们证明了Schrödinger-type操作员的特征值和特征功能的渐近扩展，具有狭窄的潜力和原理部分，以差异形式定期椭圆形操作员。我们将频谱与均质操作员进行比较，并将校正变为任意高阶。
We prove an asymptotic expansion for the eigenvalues and eigenfunctions of Schrödinger-type operator with a confining potential and with principle part a periodic elliptic operator in divergence form. We compare the spectrum to the homogenized operator and characterize the corrections up to arbitrarily high order.
