周期椭圆算子谱的绝对连续性
On absolute continuity of spectra of periodic elliptic operators
摘要：
本文简要介绍了A. Sobolev对周期磁薛定谔算子谱的绝对连续性的证明这种方法适用于所有已知的数学物理学（包括麦克斯韦）感兴趣的周期椭圆算子，并且在所有这些情况下都会导致复分析的相同模型问题。关于这一办法的全面说明将在其他地方提供。
英文摘要：
The paper contains a brief description of a simplified version of A. Sobolev's proof of absolute continuity of spectra of periodic magnetic Schrödinger operators. This approach is applicable to all periodic elliptic operators known to be of interest for math physics (including Maxwell), and in all these cases leads to the same model problem of complex analysis. The full account of this approach will be provided elsewhere.
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