经典非理想等离子体下的球形约束氢原子：临界笼尺寸的比例定律,International Journal of Quantum Chemistry

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经典非理想等离子体下的球形约束氢原子：临界笼尺寸的比例定律
International Journal of Quantum Chemistry ( IF 2.3 ) Pub Date : 2023-10-31 , DOI: 10.1002/qua.27265
Netai Das ₁ , Biswajit Das ₂ , Arijit Ghoshal ₁

Affiliation

进行了一项优雅的计算，以研究经典等离子体的非理想性对球形笼中氢原子能级的影响。非理想经典等离子体的组织效应由包含德拜长度的分析赝势描述

D

和非理想参数

γ

作为参数。通过利用包含余弦项的大尾迹函数，可以自动处理必要的边界条件，从而获得束缚态的收敛结果。对于无血浆的情况，我们的结果与文献中最准确的结果非常一致。进行了一项包容性研究，以探索由于等离子体参数和笼尺寸的变化而出现的能级变化。特别强调精确确定临界保持架尺寸。本研究具体揭示了等离子体非理想性的增加导致临界笼尺寸的拉长。此外，根据经验发现，给定氢原子的临界笼尺寸可以从比例定律获得。

"点击查看英文标题和摘要"

Spherically confined hydrogenic atoms under classical non-ideal plasmas: Scaling law for the critical cage size

An elegant calculation is carried out to investigate the effects of the non-ideality of classical plasma on the energy levels of the hydrogenic atoms held in a spherical cage. Organized effect of the non-ideal classical plasma is described by an analytical pseudopotential which contains the Debye length

D

and non-ideality parameter

γ

as parameters. Convergent results for the bound states are obtained variationally by utilizing a large trail function containing cosine term which automatically takes care of the requisite boundary conditions. For the plasma-free case, our results are in excellent agreement with the most accurate results available in the literature. An inclusive study is made to explore the changes emerging in the energy levels due to the variation of the plasma parameters and cage size. Special emphasis is made on the determination of critical cage size precisely. The present study specifically reveals that the increasing plasma non-ideality leads to the elongation of the critical cage size. Moreover, it is empirically found that the critical cage size for a given hydrogenic atom can be obtained from a scaling law.

更新日期：2023-10-31

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