American University in Bulgaria

Taylor Recurrences and Coulomb-Corrected Asymptotics for the Schrödinger–Newton Ground State

We study the positive, radial ground-state profile of the stationary Schrödinger–Newton system in the fixed-energy normalization μ=1 with V(∞)=0. Using regularity and radial symmetry of solutions, we derive convergent even Taylor expansions for the wave function and Newtonian pot...