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arXiv 2101.03282math-phmath.APmath.MPmath.SP
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紧束缚哈密顿量的景观律

The landscape law for tight binding Hamiltonians

Douglas N. Arnold, Marcel Filoche, Svitlana Mayboroda, Wei Wang, Shiwen Zhang

摘要:

本文将[FM,ADFJM 2,DFM]中开创的景观理论推广到$\Z^d$上的紧束缚薛定谔算子.特别是,我们建立的计数函数的基础上的本地化景观的积分态密度的上限和下限。

英文摘要:

The present paper extends the landscape theory pioneered in [FM, ADFJM2, DFM] to the tight-binding Schrödinger operator on $\Z^d$. In particular, we establish upper and lower bounds for the integrated density of states in terms of the counting function based upon the localization landscape.

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。

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