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- W4366603909 abstract "This article is devoted to the spectral analysis of the electro-magnetic Schrodinger operator on the Euclidean plane. In the semiclassical limit, we derive a pseudo-differential effective operator that allows us to describe the spectrum in various situations and appropriate regions of the complex plane. Not only results of the selfadjoint case are proved (or recovered) in the proposed unifying framework, but new results are established when the electric potential is complex-valued. In such situations, when the non-selfadjointness comes with its specific issues (lack of a spectral theorem, resolvent estimates), the analogue of the low-lying eigenvalues of the selfadjoint case are still accurately described and the spectral gaps estimated." @default.
- W4366603909 created "2023-04-23" @default.
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- W4366603909 date "2022-01-19" @default.
- W4366603909 modified "2023-10-05" @default.
- W4366603909 title "Eigenvalue asymptotics for confining magnetic Schrodinger operators with complex potentials" @default.
- W4366603909 doi "https://doi.org/10.48550/arxiv.2201.07465" @default.
- W4366603909 hasPublicationYear "2022" @default.
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