具有不定符号位势的随机Schr dinger算子的谱极小
The spectrum minimum for random Schrödinger operators with indefinite sign potentials
摘要：
本文研究了$H\_{λ,ω}=-Δ+W\_{\text{per}}+λV\_ω$型随机薛定谔算子族中算子的谱极小值，其中假设$V\_ω$是Anderson型的，且单点具有不定号.在一定的假设条件下，证明了存在$λ\_0>0$，使得对任何$λ\in [0,λ\_0]$，$H\_{λ,ω}$的谱的最小值由随机变量的给定实现得到.
英文摘要：
This paper sets out to study the spectral minimum for operator belonging to the family of random Schrödinger operators of the form $H\_{λ,ω}=-Δ+W\_{\text{per}}+λV\_ω$, where we suppose that $V\_ω$ is of Anderson type and the single site is assumed to be with an indefinite sign. Under some assumptions we prove that there exists $λ\_0>0$ such that for any $λ\in [0,λ\_0]$, the minimum of the spectrum of $H\_{λ,ω}$ is obtained by a given realization of the random variables.
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。
