One-dimensional Schrödinger operators with ${\delta }^{\prime }$-interactions on a set of Lebesgue measure zero

Johannes F. Brasche, Leonid Nizhnik

We give an abstract definition of a one-dimensional Schrödinger operator with ${\delta }^{\prime }$-interaction on an arbitrary set~$\Gamma$ of Lebesgue measure zero. The number of negative eigenvalues…