在WBEPM理论下EuⅠ原子里德堡能级计算(英文)

依据最弱受约束电子势模型理论,计算了铕原子4f76snd6D9/2(n≥13)、4f76snd8D9/2(n≥17)、4f76snd8D5/2(n≥15)和4f76snd8D3/2(n≥21)里德堡系列能级.计算结果与实验值的最大相对误差为4×10-5,最大绝对误差是1.91cm-1,达到了较高精度,这表明文中的外推数据是可信的.     

在WBEPM理论中受扰里德堡能级研究

在最弱受约束电子势模型理论下,研究了外来微扰能级对里德堡能级系列的影响,给出了确定外来微扰能级位置的方法.依此计算了钡原子6snp(n≥15).P1和6snd(n≥9)3D3两个里德堡能级系列的量子数亏损和能级.计算结果和实验值的绝对误差在1 cm-1以内,达到了较高的精度.     

氖原子奇宇称里德堡能级的理论计算

本文依据最弱受约束电子势模型理论,计算了氖原子1s22s22p5(2Po3/2)ns 2[3/2]o1,2(n=3～50) 和 1s22s22p5(2Po3/2)nd 2[1/2]o0,1(n=3～50)里德堡系列能级和量子亏损.计算结果与已有的51个实验数据符合得很好,并预言了141个能级的位置.     

氖原子奇宇称里德堡能级的理论计算

本文依据最弱受约束电子势模型理论,计算了氖原子1s22s22p5(2Po3/2)ns 2[3/2]o1,2(n=3-50) 和 1s22s22p5(2Po3/2)nd 2[1/2]o0,1(n=3-50)里德堡系列能级和量子亏损。计算结果与已有的51个实验数据符合得很好,并预言了141个能级的位置。     

最弱受约束电子势模型下WI原子Rydberg态能级研究

在最弱受约束电子势模型理论框架下计算了W I原子的5d~46s(~D)nd(n≥31)(1/2,3/2),5d~46s(~6D)nd(n≥40)(1/2,5/2)和5d~46s(~6D)ns(n≥41)(1/2,1/2)系列里德堡能级,结果与实验值符合较好,最大相对误差均在2.72408E-6之内,达到了很高的精度.     

最弱受约束电子势模型下WI原子Rydberg态能级研究

在最弱受约束电子势模型理论框架下计算了W I原子的 , 和 系列里德堡能级,结果与实验值符合较好,最大相对误差均在2.72408E-6之内,达到了很高的精度.     

最弱受约束电子势模型下AuⅠ原子Rydberg态能级计算

在最弱受约束电子势模型理论框架下,将推广Martin公式中最低能级的量子亏损值用实验中最低能级的量子亏损值取代,对AuⅠ原子高激发态n2D2/3(n≥18)和n2S1/2(n≥21)能级进行了计算,计算结果与实验值符合较好,进一步扩展了推广的Martin公式的适用范围。     

WBEPM下PbⅠ原子JJ耦合Rydberg态能级研究

在最弱受约束电子势模型理论框架下,利用Martin公式研究了PbⅠ原子在JJ耦合下的Rydberg系列能级,计算了6pnd1/2[5/2]3(n≥6)和6png1/2[5/2]3(n≥5)两个光谱系列的能级和量子亏损值,结果与实验值符合较好,最大相对误差小于0.032%.表明该方法对jj耦合下的能级计算也是合适的.     

Relativistic calculation of correlational energy for a helium-like atom

An analytical method is formulated for calculating the first-order correlational energy from the electron interaction, taking account of lag effects. Explicit analytical expressions are obtained for radial matrix elements. The nonrelativistic limit is investigated.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 33–35, October, 1985.     

Towards a test of string theory using Rydberg atoms

The current controversy over the need for an experimental test of String Theory is considered. We report recent experiments on quasi-bound electrons in crossed electric and magnetic fields, in which states of very large electric dipole moment are excited. The excited electron is confined to one side of the atomic nucleus in the outer well of a controllable double-well potential. These states are discussed in relation to a recent theoretical proposal to test the spatial non-commutativity underpinning String Theory by studying Penning orbits of Rydberg atoms in crossed electric and magnetic fields.     

Scattering matrix theory for Cs Rydberg atoms in magnetic field

Based on the closed orbit theory framework together with the quantum defect theory and time-independent scattering matrices theory, we calculate the recurrence spectra of diamagnetic Cs atoms at several different scaled energies near the second ionization threshold. It is revealed that the new extra peaks in spectra are attributed to the combination recurrences of semiclassical closed orbits arising from core-scattered events. This method considers the dynamic states of the Rydberg electron in the core region and long-range region and can be analytically resumed to include all orders of core-scattering automatically. With this approach a convergent recurrence spectrum can be reasonably achieved. It is found that the spectral complexity depends highly sensitively on the scaled energy. With the increase of the scaled energy, the spectral structure changes from simple to complicate and the dynamic feature from regular to chaotic. The comparison of the recurrence spectra with Dando’s result under the same conditions demonstrates that there exist some similarities and differences between them, and furthermore, the feasibility of the scattering matrix method is explained. Supported by the National Natural Science Foundation of China (Grant Nos. 10774093 and 10374061)     

Semiclassical calculation of ionisation rate for Rydberg helium atoms in an electric field

The ionisation of Rydberg helium atoms in an electric field above the classical ionisation threshold has been examined using the semiclassical method, with particular emphasis on discussing the influence of the core scattering on the escape dynamics of electrons. The results show that the Rydberg helium atoms ionise by emitting a train of electron pulses. Unlike the case of the ionisation of Rydberg hydrogen atom in parallel electric and magnetic fields, where the pulses of the electron are caused by the external magnetic field, the pulse trains for Rydberg helium atoms are created through core scattering. Each peak in the ionisation rate corresponds to the contribution of one core-scattered combination trajectory. This fact further illustrates that the ionic core scattering leads to the chaotic property of the Rydberg helium atom in external fields. Our studies provide a simple explanation for the escape dynamics in the ionisation of nonhydrogenic atoms in external fields.     

Faddeev calculation of energy states in two-electron atoms

The Faddeev equations are used to calculate the ground state as well as a few ortho- and para-excited states of e^–e⁺e^–, H^–, He, Li⁺ and Be⁺⁺ atoms. The Coulomb potential is represented in a separable form using the appropriate Coulombic Sturmians for both the attractive and repulsive interactions. Up to 36 Sturmians are employed in each interaction leading to the solution of a maximum of 56 coupled one-variable integral equations. Results are compared with data or predictions from variational calculations.     

Calculation of Rydberg energy levels for the francium atom

Based on the weakest bound electron potential model theory, the Rydberg energy levels and quantum defects of the $np^{2}$P$^{\circ}_{1 / 2}$ ($n$ = 7--50) and $np^{2}$P$^{\circ}_{3 / 2}$ ($n$ =7--50) spectrum series for the francium atom are calculated. The calculated results are in excellent agreement with the 48 measured levels, and 40 energy levels for highly excited states are predicted.     

Energy eigenvalues of helium-like atoms in dense plasmas

Calculations based on a variational method with wavefunctions including the correlation of electrons are carried out to obtain the energy eigenvalues of the Schrödinger equation for helium-like atoms embedded in dense plasmas, using the Debye-Hückel approximation. Energy eigenvalues for the 1 ¹S, 2 ¹S and 2 ³S states are obtained as a function of Debye screening length.     

氦原子(n1sn2p)组态精细结构的解析计算

以双电子原子精细结构哈密顿的球张量形式和二价原子的非相对论性能级结构理论为基础,借助不可约张量理论,导出了氦原子(n1sn2p)组态精细结构能级的解析表达式,在这一过程中,完成了所有的角向积分和自旋求和计算,其结果用若干个径向矩阵元形式来表示.