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1.
氢原子斯塔克效应的能级分裂规律   总被引:4,自引:0,他引:4  
根据简并情况下的微扰理论和n=1,2,3,4能级对应的久期方程的规律,推出任意状态下氢原子斯塔克效应中的久期方程行列式中各矩阵元的分布规律,并找出了氢原子一级斯塔克效应在电场中的能级分裂规律.  相似文献   

2.
虞家琪 《发光学报》1984,5(2):97-108
晶体场中能级分裂的计算--行列式波函数方法(4-1)用微扰法计算晶体场中能级分裂的示例 用简并微扰法计算晶体场中自由离子能级的分裂时,晶体场哈密顿量作为微扰,自由离子波函数为基,求出矩阵元,解久期方程,求出一级能量修正值即晶体场中能级的分裂,同时可求出自由离子基函数的线性组合作为零级近似波函数.下面以3d1组态的能级为例.  相似文献   

3.
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.  相似文献   

4.
进一步简化了三维氢原子斯塔克效应微扰矩阵元的普遍公式,并给出了三维氢原子斯塔克效应中任意态能量的一级修正公式.  相似文献   

5.
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。  相似文献   

6.
氢原子一级Stark效应能级的解析式   总被引:5,自引:1,他引:4  
张昌莘  席伟  苏燕飞 《大学物理》2004,23(12):21-24
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。  相似文献   

7.
氦原子1snd(n=4—11)组态下1D—3D谱项分裂值的计算   总被引:2,自引:0,他引:2       下载免费PDF全文
贺黎明  曹伟  陈学谦  朱云霞 《物理学报》2005,54(11):5077-5081
利用多体微扰理论(MBPT)计算了氦原子1snd(n=4—11)组态的1D—D谱项分裂值.基于两种不同的模型分别计算Rayleigh-Shrdinger微扰展开式中仅含束缚态的部分和包含连续态的部分.对于束缚态,较严格地通过自洽迭代求解Hartree方程构造零级近似波函数,并利用积分处理方法对无穷项求和中的余项给出了近似算法.而对于连续态波函数,则采用简化的氢原子势模型.按照Rayleigh-Shrdinger微扰展开方法,将Rydberg态的微扰论修正计算至三级.计算表明,二级和三级微扰对谱项分裂的贡献主要来自于束缚态求和部分.单态-三重态精细结构分裂的计算结果与两组实验结果基本符合. 关键词: 氦原子 Rydberg态 多体微扰 组态波函数 能级分裂  相似文献   

8.
通过解Mathieu方程得出了“自由电子模型”的能级和波函数 ,其解比用微扰法得出的结果更精确。结果表明 ,微扰势只使那些级数为n =3k(k =1,2 ,3… )的能级发生分裂 ,简并消除  相似文献   

9.
运用简并微扰的方法得到拉比模型在二阶微扰下的能量和—阶微扰下的波函数.所得结果在当前的实验参数范围内与数值模拟符合非常好.这一方法对求解拉比模型的系统能级具有指导意义,有益于拉比模型的进一步应用.  相似文献   

10.
德拜势中类氢原子能级近似解析式与幂级数求解   总被引:2,自引:0,他引:2       下载免费PDF全文
对德拜势(Debye)中类氢原子的能级问题采用Rayleigh-Schrdinger微扰展开,给出了能级的一阶修正与原子能级的近似解析式.同时,采用波函数幂级数解法,求得了德拜势下相关的递推关系.在此基础上,利用能量自洽法,求出了相当于二阶修正的德拜势下类氢原子的能级值,并就其计算结果与数值解进行了比较.同时,讨论了相应的临界束缚能态与截断条件.  相似文献   

11.
We study the radiative energy level shifts of a two-level atom in dipole coupling to the derivative of a massless scalar quantum field in a spacetime with a perfectly reflecting boundary, and calculate the contributions of vacuum fluctuations and radiation reaction to the level shift. It is found that the energy level shift of the excited state is an oscillating function of the atom's distance from the boundary and it can either be positive or negative, while that of the ground state is always positive. The most remarkable feature is that the energy level shift of the ground state behaves like 1/z^4 when the atom's distance from the boundary, z, is very large as compared to the transition wavelength of the atom, while it behaves like 1/z^3 when z is very small  相似文献   

12.
We present a perturbation study of the ground-state energy of the beryllium atom by incorporating double parameters in the atom's Hamiltonian. The eigenvalue of the Hamiltonian is then solved with a double-fold perturbation scheme,where the spin-spin interaction of electrons from different shells of the atom is also considered. Calculations show that the obtained ground-state energy is in satisfactory agreement with experiment. It is found that the Coulomb repulsion of the inner-shell electrons enhances the effective nuclear charge seen by the outer-shell electrons, and the shielding effect of the outer-shell electrons to the nucleus is also notable compared with that of the inner-shell electrons.  相似文献   

13.
Hypervirial relationships and perturbation theory are used in order to obtain analytic approximate expressions for the energy levels of the hydrogen atom in a paraboloidal box in an electric field.  相似文献   

14.
Wenfang Xie 《Physics letters. A》2009,373(26):2251-2254
Using the perturbation method, the confined hydrogen atom by a parabolic potential well is investigated. The binding energy of the confined hydrogen atom in a parabolic potential well is calculated as a function of the confined potential radius and as a function of the intensity of an applied electric field. It is shown that the binding energy of the confined hydrogen atom is highly dependent on the confined potential radius and the intensity of an applied electric field.  相似文献   

15.
The dissipation of the field in the two-photonJaynes-Cummings model (JCM) with degenerate atomic levels was studied.The initial degenerate atomic state affects the field coherence loss,when the degenerate atom is initially in an equal probability superposition state,the field coherence loss is smallest,It is found that the degeneracy of the atomic level increases the period of entanglement between the atom and the field.When the degeneracy was considered,the coherence properties of the field could be affected by the reservoir qualitatively,if a nonlinear two-photon process is involved.This is different from the dissipation of one-photon JCM with degenerate atomic levels.  相似文献   

16.
We consider an inertial two-level atom in interaction with a real massless scalar quantum field in a spacetime between two parallel reflecting plane boundaries, and calculate the contributions of vacuum fluctuations and radiation reaction to the rate of change of the atomic energy. Our results show that there exists a regime of the separation L between the two boundaries such that the excited atom's spontaneous emission is impossible. There also exist certain values of the atom's position such that the corrections due to the presence of boundaries balance each other, so that the atom's spontaneous emission rate is the same as if there were no boundaries at all.  相似文献   

17.
袁琳  赵云辉  徐军  周本胡  海文华 《中国物理 B》2012,21(10):103103-103103
A variational-integral perturbation method(VIPM) is established by combining the variational perturbation with the integral perturbation.The first-order corrected wave functions are constructed,and the second-order energy corrections for the ground state and several lower excited states are calculated by applying the VIPM to the hydrogen atom in a strong uniform magnetic field.Our calculations demonstrated that the energy calculated by the VIPM only shows a negative value,which indicates that the VIPM method is more accurate than the other methods.Our study indicated that the VIPM can not only increase the accuracy of the results but also keep the convergence of the wave functions.  相似文献   

18.
The formation of the holding potential of physical adsorption is studied with a model in which a hydrogen atom interacts with a perfectly imaging substrate bounded by a sharp planar surface; the exclusion of the atomic electron from the substrate is an important boundary condition in the model. The interaction energy and the dipole and quadrupole moments of the ground state are determined with a variational calculation. The polarizability tensor of the ground state and the interaction energies in the first few excited states are also determined. A quantitative analysis is given of the transition to the dispersion-force, large-separation regime using results of perturbation theory and of the variational solution for the ground state of a hydrogen atom in the presence of a nonimaging wall. The relation of results for the image model to ideas used in the modelling of experiments is discussed; this includes a treatment of image field contributions to the depolarizing field at an ad atom.  相似文献   

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