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Embedded eigenvalues of generalized Schrödinger operators
Journal of Spectral Theory ( IF 1 ) Pub Date : 2020-02-27 , DOI: 10.4171/jst/298
Jean-Claude Cuenin 1
Affiliation  

We provide examples of operators $T(D)+V$ in $L^2(\mathbb R^d)$ with decaying potentials that have embedded eigenvalues. The decay of the potential depends on the curvature of the (Fermi) surfaces of constant kinetic energy $T$. We make the connection to counterexamples in Fourier restriction theory.

中文翻译:

广义Schrödinger算符的嵌入特征值

我们提供了$ L ^ 2(\ mathbb R ^ d)$中的算子$ T(D)+ V $的例子,这些算子具有嵌入了特征值的衰减电位。电势的衰减取决于恒定动能$ T $的(Fermi)表面的曲率。我们将傅里叶限制理论与反例联系起来。
更新日期:2020-02-27
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