原子的M-F方程的解析解
Analytical solution of the Thomas-Fermi equation for atoms
摘要：
本文用里兹变分法得到了中性原子的E-F方程的近似解析解，它在$0\leq x\leq50$范围内精确地再现了数值解，在$x=0$范围内精确地再现了数值解。用该解计算了重原子的总电离能。所得结果与Hartree-Fock的结果一致，且优于其他作者提出的试函数的结果.
英文摘要：
An approximate analytical solution of the Thomas-Fermi equation for neutral atoms is obtained, using the Ritz variational method, which reproduces accurately the numerical solution, in the range $0\leq x\leq50$, and its derivative at $x=0$. The proposed solution is used to calculate the total ionization energies of heavy atoms. The obtained results are in good agreement with the Hartree-Fock ones and better than those obtained from previously proposed trial functions by other authors.
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。
