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- W2337785943 abstract "Schrodinger operators $T_0 = -Delta + q(x)$ with rapidly oscillating complex-valued potentials $q(x)$ are considered. Each of such operators is sectorial and hence has Friedrichs extension. We prove that $T_0$ is essentially m-sectorial in the sense that the closure of $T_0$ coincides with its Friedrichs extension $T$. In particular, $T_0$ is essentially self-adjoint if the rapidly oscillating potential $q(x)$ is realvalued. Further, we prove $sigma_{ess} (T) = [0, infty)$ under somewhat stricter condition on the potentials $q(x)$." @default.
- W2337785943 created "2016-06-24" @default.
- W2337785943 creator A5086975477 @default.
- W2337785943 date "2016-03-01" @default.
- W2337785943 modified "2023-09-24" @default.
- W2337785943 title "Essential m-sectoriality and essential spectrum of the Schrödinger operators with rapidly oscillating complex-valued potentials" @default.
- W2337785943 doi "https://doi.org/10.21099/tkbjm/1461270057" @default.
- W2337785943 hasPublicationYear "2016" @default.
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