Variational Calculations for (ns²) ¹Se, (np²) ¹D^e and (nd²) ¹G^e Resonance States for He Isoelectronic Sequences below the n = 2, 3 and 4 Hydrogenic Thresholds  

作　　者：Matabara Dieng Matabara Dieng(Department of Physics, UFR-SATIC, University Alioune Diop of Bambey, Bambey, Senegal)

机构地区：[1]Department of Physics, UFR-SATIC, University Alioune Diop of Bambey, Bambey, Senegal

出　　处：《Journal of Modern Physics》2023年第12期1617-1633,共17页现代物理（英文）

摘　　要：This work presents results of the different parameters which characterize the nonrelativistic Hamilton operator for the helium atoms allowing us to solve the Schrödinger equation. The total energy is decomposed into three terms allowing to separate the kinetic energy, the electrons-nucleus interaction energy and the electron-electron interaction energy of the (2s², 3s² and 4s²) ¹S^e, (2p², 3p² and 4p²) ¹D^e and (3d² and 4d²) ¹G^e resonance singlet states of the helium isoelectronic sequences. The states have been defined by using special forms of the Hylleraas type wave functions. The calculations have been carried out in the framework of the variational method using configuration interaction basis states with a real Hamiltonian. The agreement of the energy value of other states between the present theoretical values available in the literature is excellent. But as for the comparison of the kinetic energies, the electrons-nucleus energies interaction and the electron-electron interaction energies, we note a slight difference with the theoretical values common in literature.This work presents results of the different parameters which characterize the nonrelativistic Hamilton operator for the helium atoms allowing us to solve the Schrödinger equation. The total energy is decomposed into three terms allowing to separate the kinetic energy, the electrons-nucleus interaction energy and the electron-electron interaction energy of the (2s², 3s² and 4s²) ¹S^e, (2p², 3p² and 4p²) ¹D^e and (3d² and 4d²) ¹G^e resonance singlet states of the helium isoelectronic sequences. The states have been defined by using special forms of the Hylleraas type wave functions. The calculations have been carried out in the framework of the variational method using configuration interaction basis states with a real Hamiltonian. The agreement of the energy value of other states between the present theoretical values available in the literature is excellent. But as for the comparison of the kinetic energies, the electrons-nucleus energies interaction and the electron-electron interaction energies, we note a slight difference with the theoretical values common in literature.

关 键 词：Hylleraas Method Helium-Like Ions Systems Singlet Doubly-Excited States Matrix Elements AUTOIONIZATION 

分 类 号：O17[理学—数学]