Open AccessVariational calculations and relativistic corrections to the nonrelativistic ground energies of the helium atom and the helium-like ions
Author(s) -
Yuxiao Liu,
ZhenHua Zhao,
Yongqiang Wang,
Yuhong Chen
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.54.2620
Subject(s) - helium atom , physics , helium , ion , hamiltonian (control theory) , atomic physics , wave function , effective nuclear charge , radiative transfer , variational method , quantum electrodynamics , quantum mechanics , mathematical optimization , mathematics
Mathematica language is used to make a program that can solve the three_body pro blem with variational method. Considering the nuclear motion, the nonrelativisti c ground energies and the analytic wave functions of the helium atom and the hel ium_like ions (H+, He, Li+, Be++, B3+, C4+, N5+, O6+) are presented by using a simp le effective variational wave funct ion with a flexible parameter k. Based on these results, the influence of a finite nucleus charge radius, the relativistic and radiative corrections on the nonrelativistic Hamiltonian are discussed. The high precision values of the heli um atom and the helium_like ions ground energies are evaluated.