踢击准周期势下 ac 与 pp 谱的共存
Coexistence of ac and pp spectrum for kicked quasi-periodic potentials
AI总结:
本文引入一类实解析“尖峰”势,证明对应的一维准周期 Schrödinger 算子在正勒贝格测度频率集合下同时具有绝对连续谱与纯点谱。
摘要:
我们引入一类实解析“尖峰”势,对于正勒贝格测度集合中的准周期频率,相应的准周期一维 Schrödinger 算子同时展现绝对连续谱与纯点谱。
英文摘要:
We introduce a class of real analytic "peaky" potentials for which the corresponding quasi-periodic 1D Schrödinger operators exhibit, for quasiperiodic frequencies in a set of positive Lebesgue measure, both absolutely continuous and pure point spectrum.
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。