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。     

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：     

强磁场中氢原子的能级结构

发展了一套简单高效的非微扰理论方法研究强磁场中的原子能级结构.作为例子,给出了磁场强度从0到1000个原子单位,氢原子基态和低激发态的结合能以及四极矩等重要原子能级结构参数.结果表明:相对于其他的高精度计算方法,该方法不仅能计算出高精度的能级位置而且可方便给出精确的电子波函数.此外,该法还具有很强的普适性,可直接推广到原子与任意方向的交叉电磁场相互作用的研究. 关键词： 强磁场 CWDVR谱方法 氢原子能级结构 四极矩     

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：     

氢原子能级相对论修正的微扰方法的发散困难及其克服

指出现今所用的氢原子能级相对论效应微扰方法中蕴含着严重的发散困难，利用根式算符和动量表象克服了这种困难，重新计算氢原子各状态能级的相对论修正，并找到了前时结果在数值上所以正确的原因。     

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.     

氢原子斯塔克效应中微扰矩阵元的普遍公式

讨论了任意能级下氢原子斯塔克效应中的微扰矩阵元，并给出了n=4能级的能量一级修正值。     

一维氢原子的斯塔克效应

用定态微扰理论计算了一维氢原子在均匀外电场中的斯塔克效应,并给出了一级、二级能级修正的普遍公式。     

Perturbative approach to the hydrogen atom in a strong magnetic field

We consider states of the hydrogen atom with the principal quantum number n≤3 and zero magnetic quantum number in a constant homogeneous magnetic field ?. The perturbation theory series is summed using the Borel transformation and conformal mapping of the Borel variable. Convergence of the approximate energy eigenvalues and their agreement with the corresponding existing results are observed for external fields up to n³?/?₀～5, where ?₀ is the atomic magnetic field. The possibility of restoring the asymptotic behavior of energy levels using perturbation theory coefficients is also discussed.     

The hydrogen atom in strong magnetic fields: Summation of the weak field series expansion

Using the weak field expansion, we have calculated the ground-state energy of the hydrogen atom in a magnetic field for values of the field up to about 10¹³G. The perturbative expansion has been summed by an order-dependent mapping method. We compare our results with previous calculations. Our method allows us to obtain: first, more accurate values of the binding energy for a field up to 10¹⁰G, then good results in the transition region between the two sets of accurate calculations of the literature, and finally still reasonably accurate values up to 10¹³G.     

The hydrogen atom in a superstrong magnetic field

A new method for energy-level calculations of the H-atom in a superstrong magnetic field is proposed. The method is based on perturbation theory. The finite-difference technique is used to solve the resulting equations.     

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.     

Anisotropic features of two-dimensional hydrogen atom in magnetic field

The aim of this study is the numerical research of anisotropic characteristics of a two-dimensional (2D) hydrogen atom induced by a magnetic field. The ground state energy (GSE) of the 2D hydrogen atom and the corresponding wavefunction have been numerically calculated in the Born–Oppenheimer approximation and taking into account the finite proton mass. The nonlinear dependence of the GSE on angle α between the magnetic field vector and the normal to the electron motion plane has been found in a wide range of the magnetic field. The effect of a significant reduction of the GSE (up to 1.9-fold) is observed with increasing the angle α up to 90°. The agreement with experimental data has been demonstrated. The dependences of the GSE of a 2D exciton in GaAs/Al_0.33Ga_0.67As have been determined for various tilt angles and magnetic fields.     

Cold dense hydrogen in a strong magnetic field

The equation of state of a hydrogen plasma in a magnetic field that is quantizing for charged fermions is obtained within the framework of the statistical thermodynamics of systems in equilibrium for a model of extremely degenerate, ideal Fermi gases. Values of the mass density corresponding to nonrelativistic and relativistic electrons are considered, as well as densities exceeding the threshold for neutronization of cold, magnetized, electron-proton matter. Brest State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 57–59, October, 1997.     

Effect of the proton mass on the spectrum of the hydrogen atom in a strong magnetic field

Contrary to a recent claim, we point out that, in the problem of a hydrogen atom in a strong magnetic field, the centre-of-mass motion and the relative motion of the particles can be separated, and that the effect of the finite proton mass on the spectrum is negligible.     

Relativistic corrections to the energy levels of hydrogen atoms in a strong magnetic field

Relativistic corrections to the binding energies of various states of the strongly magnetized hydrogen atom are estimated by a perturbation calculation.     

Modification of the coulomb law and energy levels of hydrogen atom in superstrong magnetic field

The screening of the Coulomb potential by superstrong magnetic field is studied. Its influence on the spectrum of a hydrogen atom is determined.