论文标题

在Schrödinger运营商上,$δ'$ - 在星形图上支持的电势

On Schrödinger operators with $δ'$-potentials supported on star graphs

论文作者

Pankrashkin, Konstantin, Vogel, Marco

论文摘要

讨论了二维Schrödinger运算符的光谱特性,具有$Δ'$ - 在星形图上支持的电势。我们描述了基本频谱,并完整描述了离散频谱是非平凡但有限的情况。针对具有两个分支的恒星图提出了一项更详细的研究,特别是获得了特征值的小角度渐近肌。

The spectral properties of two-dimensional Schrödinger operators with $δ'$-potentials supported on star graphs are discussed. We describe the essential spectrum and give a complete description of situations in which the discrete spectrum is non-trivial but finite. A more detailed study is presented for the case of a star graph with two branches, in particular, the small angle asymptotics for the eigenvalues is obtained.

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