Doma Salah, Roston Gamal, Ahmed Mostafa
Department of Mathematics and Computer Science, Alexandria University, Alexandria, 21515 Egypt.
Department of Physics, Alexandria University, Alexandria, 21515 Egypt.
Few Body Syst. 2025;66(1):16. doi: 10.1007/s00601-025-01981-1. Epub 2025 Feb 6.
The variational Monte Carlo method is employed to conduct a comprehensive investigation of the compressed ground and excited states of plasma-embedded lithium atom within impenetrable spherical boxes of varying radii. The study focuses on the low-lying excited doublet states 1 , 1 p, and 1 d, utilizing plasma potentials such as the screened Coulomb (SCP), exponential cosine screened Coulomb (ECSCP), and Hulthén potentials. Energy eigenvalues are determined using appropriate trial wave functions, which account for electron-electron repulsion and spin parts to adhere to the Pauli Exclusion Principle. Moreover, two factors related to the wave function of the compressed system and ECSCP model are considered. The results reveal an intriguing relative ordering for the lithium atom using the three plasma models, with many of the findings being significant contributions yet to be explored.
采用变分蒙特卡罗方法，对处于不同半径不可穿透球形盒内的嵌入等离子体锂原子的压缩基态和激发态进行了全面研究。该研究聚焦于低激发双重态1 、1 p和1 d，利用了诸如屏蔽库仑（SCP）、指数余弦屏蔽库仑（ECSCP）和胡尔特恩势等等离子体势。通过使用适当的试探波函数确定能量本征值，这些试探波函数考虑了电子 - 电子排斥和自旋部分，以符合泡利不相容原理。此外，还考虑了与压缩系统波函数和ECSCP模型相关的两个因素。结果揭示了使用三种等离子体模型时锂原子有趣的相对排序，许多研究结果是有待探索的重要贡献。
