大区间上一维Schrödinger算子的谱间隙研究
On the spectral gap of one-dimensional Schrödinger operators on large intervals
AI总结:
该研究聚焦大区间极限下非负势对一维Schrödinger算子谱间隙的影响,推导了不同类别势下谱间隙的上下界以刻画其渐近行为。
摘要:
我们研究了大区间极限下非负势对一维Schrödinger算子谱间隙的影响。特别地,我们推导了不同类别势下谱间隙的上下界,这些界刻画了其渐近行为。
英文摘要:
We study the effect of non-negative potentials on the spectral gap of one-dimensional Schrödinger operators in the limit of large intervals. In particular, we derive upper and lower bounds on the gap for different classes of potentials which characterize its asymptotic behaviour.
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。