Helium atoms in a strong magnetic field studied with the Lagrange-mesh method
Helium atoms in a strong magnetic field studied with the Lagrange-mesh method
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DOI：
10.1088/0953-4075/37/19/012
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发表时间：
2004-09
期刊：
影响因子：
--
通讯作者：
M. Hesse;D. Baye
中科院分区：
文献类型：
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作者：
M. Hesse;D. Baye
用拉格朗日网格方法研究了无限重原子核在强磁场B≤2.35×105T中的氦原子。采用依赖于欧拉角的Wigner函数和三个内部自由度的Lagrange函数组合而成的基进行近似变分计算。拉格朗日函数与周向坐标中的三维网格相关联。将该方法应用于总轨道动量投影M=0和最低单重态M=−1的两个最低单重态和三重态的能量计算。
The helium atom in a strong magnetic field B ≤ 2.35 × 105 T is studied with the help of the Lagrange-mesh method, in the case of an infinitely heavy nucleus. An approximate variational calculation is performed with a basis formed by combining Wigner functions depending on Euler angles with Lagrange functions for the three internal degrees of freedom. The Lagrange functions are associated with a three-dimensional mesh in perimetric coordinates. The method is applied to the determination of the energies of the two lowest singlet and triplet helium states with a total orbital momentum projection M equal to zero and to the lowest singlet M = −1 state.