Corrigendum to: “On the asymptotic decay of the Schrödinger–Newton ground state” [Phys. Lett. A 395 (2021) 127209

Abstract

The asymptotics of the ground state u(r) of the Schrödinger–Newton equation in R3 was determined by V. Moroz and J. van Schaftingen to be u(r)∼Ae−r/r1−‖u‖22/8π for some A>0, in units in which the ground state energy is −1. In this corrigendum a factor 2 mistake in the upper bound on ‖u‖22 reported in the original publication of the present author is corrected, resulting in a better upper bound that in concert with the already reported lower bound yields the interval 21/33π2⩽‖u‖22⩽8π3/2, which now proves that the monomial prefactor of e−r increases with r in a concave manner.