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- W1851793648 abstract "We consider self-adjoint Schrodinger operators in $L^2 (mathbb{R}^d)$ with a $delta$-interaction of strength $alpha$ and a $delta'$-interaction of strength $beta$, respectively, supported on a hypersurface, where $alpha$ and $beta^{-1}$ are bounded, real-valued functions. It is known that the inequality $0 < beta leq 4/alpha$ implies inequality of the eigenvalues of these two operators below the bottoms of the essential spectra. We show that this eigenvalue inequality is strict whenever $beta < 4 / alpha$ on a nonempty, open subset of the hypersurface. Moreover, we point out special geometries of the interaction support, such as broken lines or infinite cones, for which strict inequality of the eigenvalues even holds in the borderline case $beta = 4 / alpha$." @default.
- W1851793648 created "2016-06-24" @default.
- W1851793648 creator A5055419536 @default.
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- W1851793648 date "2014-07-21" @default.
- W1851793648 modified "2023-09-27" @default.
- W1851793648 title "An eigenvalue inequality for Schrodinger operators with $delta$ and $delta'$-interactions supported on hypersurfaces" @default.
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- W1851793648 hasPublicationYear "2014" @default.
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