基于二维B-splines方法研究强磁场中类氢离子He+的低能能级  

Investigation on the low energy levels of hydrogen-like ion He^(+) in strong magnetic fields based on two-dimensional B-spline approach

作　　者：刘凤丽[1] LIU Fengli(College of Physical Sciences and Technology,Heilongjiang University,Harbin 150080,China)

机构地区：[1]黑龙江大学物理科学与技术学院,哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2023年第5期596-604,共9页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金(11474079)。

摘　　要：采用改进的二维B-spline方法在柱坐标系下研究了强磁场下类氢离子He^(+)的结构和电子空间几率密度,计算包含三种对称性0^(+)、0^(-)和(^(-)1)^(+)共10个本征态1 0^(+)、2 0^(+)、ν 0^(-)(ν=1~4)和ν(-1)^(+)(ν=1~4)的能级,选定磁感应强度分别为0、0.001、0.003、0.005、0.007、0.010、0.030、0.050、0.070、0.100、0.200、0.300、0.500、0.700和1.000 a.u.。计算结果表明,类氢离子He^(+)的能级在强磁场中发生劈裂,简并度消除,得到了各个能级随磁感应强度变化规律,并且发现随着磁感应强度的增加能级高低会改变,甚至会发生能级翻转现象;定量地研究了类氢离子He^(+)的基态1 0^(+)和激发态3 0^(-)几率密度分布随磁感应强度的变化规律,并与氢原子进行比较。本研究部分计算结果与他人研究结果十分吻合,有助于进一步理解其他复杂原子的电子运动行为。The two-dimensional B-spline approach is developed in the cylindrical coordinate system to in vestigate the structure and the probability density distributions of hydrogen-like ion He^(+)in strong magnetic fields.The current calculations involve 10 eigenstates 10^(+),20^(+),ν0^(-)(ν=1~4)andν(^(-)1)^(+)(ν=1~4)with three symmetries 0^(+),0^(-)and(-1)^(+).The magnetic field strengths are selected to be 0,0.001,0.003,0.005,0.007,0.010,0.030,0.050,0.070,0.100,0.200,0.300,0.500,0.700 and 1.000 a.u..The calculations show that the energy levels of the hydrogen-like ion He^(+)are splitted which means the degeneracy is eliminated in strong magnetic fields.It is found that the energy levels change with the increase of the magnetic field strengths,and even the energy level turnover phenomenon will occur.The probability density distributions of the outer electron for 10^(+)and 30^(-)states are presented.Further more,comparison is made between this result and theoretical data reported in the literature,and excellent agreement is found.It is helpful to understand the electronic dynamical behavior of other complex atoms.

关 键 词：B-spline方法 类氢离子He+ 强磁场 能级 

分 类 号：O562.3[理学—原子与分子物理]