论文标题
相对论强大的斯科特猜想：简短的证明
Relativistic Strong Scott Conjecture: A Short Proof
论文作者
论文摘要
我们考虑用动能$（C^2p^2+c^4）建模的原子数$ z $的重中性原子^{1/2} -c^2 $由Chandrasekhar使用。我们研究了限制$ z，c \ to \ infty $固定的$ z，c \ to $ z/c $固定的一粒子基态密度在长度尺度上的行为。我们简短地证明了作者和巴里·西蒙（Barry Simon）的最新结果，显示了该量表上密度与相对论氢密度的收敛性。
We consider heavy neutral atoms of atomic number $Z$ modeled with kinetic energy $(c^2p^2+c^4)^{1/2}-c^2$ used already by Chandrasekhar. We study the behavior of the one-particle ground state density on the length scale $Z^{-1}$ in the limit $Z,c\to\infty$ keeping $Z/c$ fixed. We give a short proof of a recent result by the authors and Barry Simon showing the convergence of the density to the relativistic hydrogenic density on this scale.
