相对论背景下基态能量的渐近性
Asymptotics of the ground state energy in the relativistic settings
摘要：
本文的目的是导出相对论背景下重原子和重分子基态能量的精确渐近性，特别是导出相对论Scott修正项以及Dirac、Schwinger和相对论修正项。我们还将证明，费米密度近似的基态的实际密度，这打开了方法来估计过剩的负，正电荷和电离能。
英文摘要：
The purpose of this paper is to derive sharp asymptotics of the ground state energy for the heavy atoms and molecules in the relativistic settings, and, in particular, to derive relativistic Scott correction term and also Dirac, Schwinger and relativistic correction terms. Also we will prove that Thomas-Fermi density approximates the actual density of the ground state, which opens the way to estimate the excessive negative and positive charges and the ionization energy.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
