Prefer a chat interface with context about you and your work?
Stationary solutions of the Schrödinger-Newton model---an ODE approach
We prove the existence and uniqueness of stationary spherically symmetric positive solutions for the Schrödinger-Newton model in any space dimension $d$. Our result is based on an analysis of the corresponding system of second-order differential equations. It turns out that $d=6$ is critical for the existence of finite energy solutions …