原子与分子物理学报
原子與分子物理學報
원자여분자물이학보
CHINESE JOURNAL OF ATOMIC AND MOLECULAR PHYSICS
2015年
3期
392-396
,共5页
氩原子%基态能量%相对论修正%不可约张量
氬原子%基態能量%相對論脩正%不可約張量
아원자%기태능량%상대론수정%불가약장량
Argon-like atom%Ground state energy%Relativistic corrections%Irreducible tensors
以相对论修正哈密顿(包括质量修正、单体和双体达尔文修正、自旋-自旋接触相互作用)的张量形式为基础,借助不可约张量理论导出了类氩体系基态能量的相对论修正的解析表达式.在斯莱特表象中完成了所有的角向积分和自旋求和计算,能量的相对论修正式用径向矩阵元的线性组合来表示.对类氩体系基态能量的相对论修正值进行了具体计算,修正后基态能量与实验值的相对误差小于0.0459%.
以相對論脩正哈密頓(包括質量脩正、單體和雙體達爾文脩正、自鏇-自鏇接觸相互作用)的張量形式為基礎,藉助不可約張量理論導齣瞭類氬體繫基態能量的相對論脩正的解析錶達式.在斯萊特錶象中完成瞭所有的角嚮積分和自鏇求和計算,能量的相對論脩正式用徑嚮矩陣元的線性組閤來錶示.對類氬體繫基態能量的相對論脩正值進行瞭具體計算,脩正後基態能量與實驗值的相對誤差小于0.0459%.
이상대론수정합밀돈(포괄질량수정、단체화쌍체체이문수정、자선-자선접촉상호작용)적장량형식위기출,차조불가약장량이론도출료류아체계기태능량적상대론수정적해석표체식.재사래특표상중완성료소유적각향적분화자선구화계산,능량적상대론수정식용경향구진원적선성조합래표시.대류아체계기태능량적상대론수정치진행료구체계산,수정후기태능량여실험치적상대오차소우0.0459%.
Based on the tensor expression for the Breit-Pauli Hamiltonian and with the aid of irreducible tensor theo-ry, the matrix elements in sets of Slater functions of the relativistic correction operators, which include mass correction term, one-and two-body Darwin correction terms, spin-spin contact interaction term and orbit-orbit interaction term, have been derived explicitly and presented by radial matrix elements.The theory is applied to the calculations of ground state energies of Agron-like atoms and all the relative differences are smaller than 0.046%.