磁化等离子体环境对氢原子能级结构的影响

本文通过非微扰求解薛定谔方程, 研究了强磁场磁化的等离子体环境中的原子能级结构和辐射动力学过程. 在较宽的磁场强度范围和等离子体屏蔽参数范围内, 给出了氢原子基态以及低激发态的能级、辐射跃迁能量和振子强度等重要的原子参数, 定量地描述了强磁场和等离子体屏蔽共同作用的综合效应. 相关的结果有助于增进对极端环境下原子光谱结构的认识, 在等离子体光谱诊断和天文光谱观测方面有一定的借鉴意义. 关键词： 强磁场 CWDVR谱方法 能级结构 振子强度     

强磁场中氢原子能级的另一种绝热变分计算

采用绝热近似和变分原理，引入描述Coulomb作用的等效模型势，给出绝热变分方程，计算了均匀强磁场(1≤β≤2000)中氢原子的基态和几个较低激发态的能级，并与绝热近似方法和公认为最精确的类多组态Hartree-Fock方法的结果进行了比较，给出的基矢比Landau基矢具有更好的收敛性. 关键词：     

强磁场中氢原子自离化态的能级及宽度

使用Bsplines与复坐标旋转相结合的方法计算了均匀外磁场(2.35×10~6≤B≤1.175×10~4T)中氢原子│m│=0—5,偶宇称和奇宇称自离化态的能级和宽度.并与已有的结果作了比较.分析了共振态能级位置和宽度与态的宇称、磁量子数│m│及磁场强度的关系.结果表明:Bsplines与复坐标旋转方法相结合可以有效地用于强外场中原子自离化态的计算. 关键词：     

微扰法计算中等强磁场中氢原子的能级

本文在考虑氢原子轨道运动磁矩与磁场之间、自旋磁矩与磁场之间和感生磁矩与外磁场之间的相互作用的基础上,根据角动量和球谐函数的性质,应用简并态微扰方法研究了在中等强磁场中氢原子的能级,给出了计算中等强磁场中氢原子的一级近似能级的方法,具体计算了23.5126≤B≤1.881728×10~4T范围内氢原子n=2的各能级的数值,结果与有关文献给出的理论计算值是相近的,表明本文所给出的方法是简单的、计算结果是正确的.     

微扰法计算中等强磁场中氢原子的能级

本文在考虑氢原子轨道运动磁矩与磁场之间、自旋磁矩与磁场之间和感生磁矩与外磁场之间的相互作用的基础上,根据角动量和球谐函数的性质,应用简并态微扰方法研究了在中等强磁场中氢原子的能级,给出了计算中等强磁场中氢原子的一级近似能级的方法,具体计算了 T范围内氢原子 的各能级的数值,结果与有关文献给出的理论计算值是相近的,表明本文所给出的方法是简单的、计算结果是正确的。     

同向电场磁场中氢原子的能级分裂

用通用软件Mathematica和简并微扰论计算了氢原子n=3~7能态在一对同方向电磁场中的能级分裂(不考虑自旋).数值结果表明:在许多情况下,一级修正可以使能级简并完全解除,这时总体能级分裂不是等间距的;但在一定条件下,总体能级分裂是等间距的,此时能级简并不能完全解除,只分裂为3n-2个不同能级.现有文章的结论是欠周全的.     

绝热变分近似计算强磁场中氢原子的能级

在绝热变分近似下，计算了强磁场（β＝１～２０００）中氢原子的一些能级，并同其它结果进行了比较。发现采用的方法在磁场变弱时（如β～１），其计算结果比绝热近似有很大改进，而且在β≥１００时几乎可以同最精确的有限元方法和Ｒｓｎｅｒ［１］等人的类多组态ＨＦ方法的结果相比拟。     

氢原子一级Stark效应能级的解析式

根据简并态微扰论、球坐标系中氢原子波函数的性质,得到任意能级下氢原子一级Stark效应能级计算的简单方法,并计算了n=5的能级修正值,由此得到了氢原子一级Stark能级的解析式。     

B splines有限基矢集用于计算磁场中氢原子能级

用Ｂ ｓｐｌｉｎｅｓ有限基方法计算了磁场（０＜Ｂ≤４．７×１０⁸Ｔ）中氢原子的基态和多个激发态的能级。对Ｒ?ｓｎｅｒ等及Ｉｖａｎｏｖ所算的能级范围做了补充和扩展，所得结果与其它理论方法已有的结果符合得很好，进一步显示了Ｂ ｓｐｌｉｎｅｓ有限基方法在原子外场效应计算中是一种强有力的方法。 关键词：     

基于高斯基展开法研究氢原子能级和波函数

本文采用高斯基展开法精确求解氢原子能级,并且研究高斯基展开法中变分参数的选取对于结果精确度的影响.程序采用Python语言编写,这一求解方法为计算物理、量子力学等课程的教学提供了参考.     

Sodium atom in strong magnetic fields：a pseudospectral approach

Energies and wavefunctions of low-lying states and Rydberg states for the sodium atom in uniform magnetic fields varying from 0 to 10^5T are calculated using a pseudospectral approach with a model potential in spherical coordinates. The energies are comparable with experimental results as well as those obtained by other calculations. The spectra of oscillator strength are worked out. The evolution of them with the magnetic field is shown.     

椭球坐标下求解强磁场中的氢原子

在椭球坐标系下,采用B样条基组方法计算了磁场范围在0-1000 a.u.下氢原子低能态能量以及实验室磁场下(几个特斯拉)氢原子里德堡态的能级,并与文献中的精确结果进行了比较.对1s0态,磁场γ≤100 a.u.时,本文计算结果有12位有效数字的精度,γ=1000 a.u.时有11位有效数字的精度.对2p-1低激发态,γ≤100 a.u.时,能量至少有11位有效数字的精度;γ=1000 a.u.时,有9位有效数字的精度.对原子高激发态,我们计算了实验室磁场下(磁场为4.7特斯拉)氢原子里德堡态(主量子数n=23)的抗磁谱,得到了至少10位有效数字精度的能谱.本文方法既适用于超强磁场下低能态的计算,同样适合原子高里德堡态抗磁谱的计算,为精确计算强磁场下原子能谱提供了一个新的可行方案.此外,讨论了本文方法推广到平行及交叉电磁场下原子能谱计算的可行性.     

Hydrogen atom in strong magnetic field: a high accurate calculation in spheroidal coordinates

A B-spline-type basis set method for the calculation of hydrogen atom in strong magnetic fields in the frame of spheroidal coordinates has been introduced. High accurate energy levels of hydrogen in the magnetic field, with strength ranging from 0 to 1000 a.u., have been obtained. For the ground state, 1s₀, energies with at least 11 significant digits have been obtained. For the low-lying excited state, 2p₋₁, energies with at least 9 significant digits are obtained. The method has also been applied to the calculation of hydrogen Rydberg states in laboratory magnetic fields. Energy spectra with at least 10 significant digits are presented. A comparison with other results in the literatures has been performed. Our results are comparable to the most accurate one up to date. A possible extension to the cases of parallel and crossed electric and magnetic fields have been discussed.     

An effective potential method for the calculation of hydrogen molecule ion energy in a strong magnetic field

Using the adiabatic approximation and adiabatic variational approximation with an effective potential, the total energies and the equilibrium internuclear separations of H₂⁺ ion in states σ_g, π_u, δ_g, φ_u, γ_g, η_u in strong magnetic fields have been calculated. Our results reproduced those obtained by Vincke and Baye (Vincke M and Baye D 1985 J. Phys. B: At. Mol. Phys. 18 167), which are considered the most reliable. We found a basic function with better convergence than the Landau functions.     

用伪谱方法计算强激光场中一维原子的阈上电离谱

引入非线性空间变换,用伪谱方法求解了一维原子在强激光场中的薛定谔方程,再利用B样条函数和傅立叶级数的线性组合构造原子未微扰的本征函数,计算了一维原子在强激光场中的阈上电离谱,其结果与分裂算符法得到的结果符合得很好.     

High accuracy calculation of the hydrogen negative ion in strong magnetic fields

Using a full configuration-interaction method with Hylleraas-Gaussian basis function, this paper investigates the 1¹0⁺, 1¹(–1)⁺ and 1¹(–2)⁺ states of the hydrogen negative ion in strong magnetic fields. The total energies, electron detachment energies and derivatives of the total energy with respect to the magnetic field are presented as functions of magnetic field over a wide range of field strengths. Compared with the available theoretical data, the accuracy for the energies is enhanced significantly. The field regimes 3 < γ < 4 and 0.02 < γ < 0.05, in which the 1¹(–1)⁺ and 1¹(–2)⁺ states start to become bound, respectively, are also determined based on the calculated electron detachment energies.     

Exact solution for the hydrogen atom in strong magnetic fields

The exact energy values and wavelengths of the Lyman a transition of the hydrogen atom in strong magnetic fields up to 2.35 × 105 T are obtained by using the pseudospectral method. They agree well with results calculated with the other method.     

g factors of nuclear low-lying states:A covariant description

The g factors and spectroscopic quadrupole moments of low-lying excited states 2+1,…,81+ in 24Mg are studied in a covariant density functional theory.The wave functions are constructed by configuration mixing of axially deformed mean-field states projected on good angular momentum.The mean-field states are obtained from the constraint relativistic point-coupling model plus BCS calculations using the PC-F1 parametrization for the particle-hole channel and a density-independent delta-force for the particle-pa...     

强磁场中氢分子离子H2^＋能级的绝热及绝热变分计算

采用绝热近拟和绝热变分近似两种方法,计算了均匀强磁场（１０≤β≤１０００）中Ｈ２＾＋的σｇ,πｕ,δｇ,Φｕ,γｇ,ηｕ态的能有有原子核间的平衡距离,并与前人的结果进行了比较。