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- W3010339661 abstract "We consider Dirichlet-to-Neumann maps associated with (not necessarily self-adjoint) Schrödinger operators in L 2 (Ω; d n x), where Ω ⊂ ℝ n , n=2, 3, are open sets with a compact, nonempty boundary ∂Ω satisfying certain regularity conditions. As an application we describe a reduction of a certain ratio of modified Fredholm perturbation determinants associated with operators in L 2(Ω; d n x) to modified Fredholm perturbation determinants associated with operators in L 2(∂Ω; d n−1 σ), n=2, 3. This leads to a two- and three-dimensional extension of a variant of a celebrated formula due to Jost and Pais, which reduces the Fredholm perturbation determinant associated with a Schrödinger operator on the half-line (0, ∞) to a simple Wronski determinant of appropriate distributional solutions of the underlying Schrödinger equation." @default.
- W3010339661 created "2020-03-13" @default.
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- W3010339661 date "2008-12-15" @default.
- W3010339661 modified "2023-09-27" @default.
- W3010339661 title "On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants" @default.
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- W3010339661 doi "https://doi.org/10.1007/978-3-7643-8755-6_9" @default.
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