Year: 2017
Type: preprint
Abstract: For the pair $\{-Δ, -Δ-αδ_\mathcal{C}\}$ of self-adjoint Schrödinger operators in $L^2(\mathbb{R}^n)$ a spectral shift function is determined in an explicit form with the help of (energy parameter dependent) Dirichlet-to-Neumann maps. Here $δ_{\cal{C}}$ denotes a singular $δ$-potential which is supported on a smooth compact hypersurface $\mathcal{C}\subset\mathbb{R}^n$ and $α$ is a real-valued function on $\mathcal{C}$.
Source: arXiv (Cornell University)
Authors: Behrndt, Jussi, Gesztesy, Fritz, Nakamura, Shu
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4297785892