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- W4297797227 abstract "The present paper addresses questions on resonances for a $1$D Schr{o}dinger operator with truncated periodic potential. Precisely, we consider the half-line operator $H^{mathbb N}=-Delta +V$ and $H^{mathbb N}_L = -Delta + V 1_{[0,L]}$ acting on $ell^{2}(mathbb N)$ with Dirichlet boundary condition at $0$ with $L in mathbb N$. We describe the resonances of $H^{mathbb N}_{L}$ near the boundary of the essential spectrum of $H^{mathbb N}$ as $L rightarrow +infty$ in the generic case." @default.
- W4297797227 created "2022-10-01" @default.
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- W4297797227 date "2015-09-12" @default.
- W4297797227 modified "2023-09-25" @default.
- W4297797227 title "Resonances for 1D half-line periodic operators: I. Generic case" @default.
- W4297797227 doi "https://doi.org/10.48550/arxiv.1509.03788" @default.
- W4297797227 hasPublicationYear "2015" @default.
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