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Coexistence of absolutely continuous and pure point spectrum for kicked quasiperiodic potentials
Journal of Spectral Theory ( IF 1.0 ) Pub Date : 2021-07-19 , DOI: 10.4171/jst/370 Kristian Bjerklöv 1 , Raphaël Krikorian 2
Journal of Spectral Theory ( IF 1.0 ) Pub Date : 2021-07-19 , DOI: 10.4171/jst/370 Kristian Bjerklöv 1 , Raphaël Krikorian 2
Affiliation
We introduce a class of real analytic “peaky” potentials for which the corresponding quasiperiodic 1D-Schrödinger operators exhibit, for quasiperiodic frequencies in a set of positive Lebesgue measure, both absolutely continuous and pure point spectrum.
中文翻译:
踢准周期势的绝对连续和纯点谱的共存
我们引入了一类实解析“峰值”势,对于一组正 Lebesgue 测度中的准周期频率,无论是绝对连续还是纯点谱,相应的准周期 1D-Schrödinger 算子都展示了这些势。
更新日期:2021-07-19
中文翻译:
踢准周期势的绝对连续和纯点谱的共存
我们引入了一类实解析“峰值”势,对于一组正 Lebesgue 测度中的准周期频率,无论是绝对连续还是纯点谱,相应的准周期 1D-Schrödinger 算子都展示了这些势。