Determination via classical mechanics of the maximum number of electrons in an atomic bound state

作     者：K. R. Brownstein 

作者机构：Department of Physics and Astronomy University of Maine Orono Maine 04469 

出 版 物：《Physical Review A》 (物理学评论A辑：原子、分子和光学物理学)

年 卷 期：1985年第32卷第4期

页      面：2488-2488页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0803[工学-光学工程] 0702[理学-物理学] 

摘      要：Let ψ be any normalizable energy eigenfunction for N electrons in an atom having Z protons in a fixed pointlike nucleus. Recently, it has been shown with use of quantum mechanics [Phys. Rev. Lett. 53, 907 (1984)] that, for the state ψ, NF no larger than 4. Evidence was presented that F=F(N)→2 as N→∞. In this paper we show that the same result holds in classical mechanics for a bound system.