The Žislin Essential Numerical Range for Schrödinger Operators, with Applications to Stark-Type Problems and Their Resonances
摘要
We introduce a new essential numerical range concept for Schrödinger operators with complex potentials and demonstrate that this so-called Žislin essential numerical range enjoys significant practical advantages in the analysis of spectral approximation for non-sectorial operators via domain truncation. As an application, dissipative barrier Stark operators are considered.