Some exact solutions of the Schrödinger--Poisson system in spaces of constant sectional curvature
arXiv:2511.19873
Abstract
We consider the Schrödinger--Poisson system on the complete, simply-connected Riemannian manifolds of constant sectional curvature. We obtain closed-form stationary spherically-symmetric solutions for the homogeneous equations for certain dimensions, and give some basic examples of solutions with a nonzero background.
6 pages