薄谱Schr dinger算子
Schrödinger Operators with Thin Spectra
摘要：
确定薛定谔算符的谱是数学量子力学中的一个基本问题。我们讨论了一系列的结果表明，薛定谔算子可以表现出非常薄的勒贝格测度和分形维数的意义下的频谱。我们首先简要讨论周期理论的结果，然后讨论具有薄谱的非周期模型。
英文摘要：
The determination of the spectrum of a Schrödinger operator is a fundamental problem in mathematical quantum mechanics. We discuss a series of results showing that Schrödinger operators can exhibit spectra that are remarkably thin in the sense of Lebesgue measure and fractal dimensions. We begin with a brief discussion of results in the periodic theory, and then move to a discussion of aperiodic models with thin spectra.
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。
