Variational calculations and relativistic corrections to the nonrelativistic ground energies of the helium atom and the helium-like ions | Zendy

Yu-Xiao Liu | Zendy; ZhenHua Zhao | Zendy; YongQiang Wang | Zendy; Yuhong Chen | Zendy

Open Access

Variational calculations and relativistic corrections to the nonrelativistic ground energies of the helium atom and the helium-like ions

Author(s) -

Yu-Xiao Liu,

ZhenHua Zhao,

YongQiang Wang,

Yuhong Chen

Publication year - 2005

Publication title -

acta physica sinica

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.

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