Open AccessPrecise criterion for excited states of the lithiumlike systems
Author(s) -
Chao Chen,
Zhiwen Wang,
Jiaming Li
Publication year - 2005
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.54.1142
Subject(s) - excited state , physics , lithium atom , wave function , atomic physics , upper and lower bounds , bound state , atom (system on chip) , electron , function (biology) , quantum mechanics , statistical physics , mathematics , mathematical analysis , ion , computer science , ionization , evolutionary biology , embedded system , biology
By using the accurate inequalities of the electron density at the nucleus and radial expectation values for atomic systems derived by Gálvez and Porras, we separately construct two sets of precise criterion of the wave function, they are another precise criterion independent of energy to test quality of the wave function. In this paper, we use the excited states of lithiumlike systems as research objects and examine the upper bound of the electron density at the nucleus and radial expectation value for the lithiumlike systems 1s23s state, R6 defined by the upper bounds of the electron density at the nucleus and R4 defined by the upper bounds of radial expectation value for the lithium atom 1s23s state in different calculation methods are also testedat the same time we check up the upper bound of the electron density at the nucleus and radial expectation value for double excited states of the lithium atom. Research has shown that these two sets of inequalities can be used as precise criterion for wave function of energy states of atomic systems.