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- W3100486535 abstract "In this paper we study the operator $H_{beta}=-Delta-betadelta(cdot-Gamma)$ in $L^{2}(mathbb{R}^{2})$, where $Gamma$ is a smooth periodic curve in $mathbb{R}^{2}$. We obtain the asymptotic form of the band spectrum of $H_{beta}$ as $beta$ tends to infinity. Furthermore, we prove the existence of the band gap of $sigma(H_{beta})$ for sufficiently large $beta>0$. Finally, we also derive the spectral behaviour for $betatoinfty$ in the case when $Gamma$ is non-periodic and asymptotically straight." @default.
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- W3100486535 date "2001-12-01" @default.
- W3100486535 modified "2023-10-07" @default.
- W3100486535 title "Band Gap of the Schrödinger Operator with a Strong δ-Interaction on a Periodic Curve" @default.
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- W3100486535 doi "https://doi.org/10.1007/s00023-001-8605-2" @default.
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