Magnetic Schrödinger operators and landscape functions

Jeremy G. Hoskins, Hadrian Quan, Stefan Steinerberger

We study localization properties of low-lying eigenfunctions of magnetic Schrödinger operators $$\frac{1}{2}{\left(-i\nabla -A(x)\right)}^2\varphi +V(x)\varphi =\lambda \varphi ,$$ where $V:Ω\rightarrow…