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- W4300657143 abstract "We perform quantitative spectral analysis of the self-adjoint Dirichlet Laplacian $mathsf{H}$ on an unbounded, radially symmetric (generalized) parabolic layer $mathcal{P}subsetmathbb{R}^3$. It was known before that $mathsf{H}$ has an infinite number of eigenvalues below the threshold of its essential spectrum. In the present paper, we find the discrete spectrum asymptotics for $mathsf{H}$ by means of a consecutive reduction to the analogous asymptotic problem for an effective one-dimensional Schrodinger operator on the half-line with the potential the behaviour of which far away from the origin is determined by the geometry of the layer $mathcal{P}$ at infinity." @default.
- W4300657143 created "2022-10-03" @default.
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- W4300657143 date "2018-05-31" @default.
- W4300657143 modified "2023-09-30" @default.
- W4300657143 title "Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer" @default.
- W4300657143 doi "https://doi.org/10.48550/arxiv.1805.12448" @default.
- W4300657143 hasPublicationYear "2018" @default.
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