期刊文献+
共找到10篇文章
< 1 >
每页显示 20 50 100
Boundedness and convergence of perturbed corrections for helium-like ions in ground states 被引量:2
1
作者 赵云辉 海文华 +1 位作者 赵乘麟 罗小兵 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第5期1720-1728,共9页
Applying the improved Rayleigh SchrSdinger perturbation theory based on an integral equation to helium-like ions in ground states and treating electron correlations as perturbations, we obtain the second-order correct... Applying the improved Rayleigh SchrSdinger perturbation theory based on an integral equation to helium-like ions in ground states and treating electron correlations as perturbations, we obtain the second-order corrections to wavefunctions consisting of a few terms and the third-order corrections to energicity. It is demonstrated that the corrected wavefunctions are bounded and quadratically integrable, and the corresponding perturbation series is convergent. The results clear off the previous distrust for the convergence in the quantum perturbation theory and show a reciprocal development on the quantum perturbation problem of the ground state helium-like systems. 展开更多
关键词 helium-like ion perturbation correction BOUNDEDNESS CONVERGENCE
下载PDF
Nonvariational calculation of eigenenergies for ~3S states of helium-like systems
2
作者 WANG Yixuan and DENG ConghaoInstitute of Theoretical Chemistry, Shandong University, Jinan 250100, China 《Chinese Science Bulletin》 SCIE EI CAS 1997年第4期301-304,共4页
COMPARED with the popular hyperspherical coordinate scheme, the HHGLF method proposed by Deng and others has the advantages of rapid hyperradial convergence, analytical solution and huge basis set calculation. However... COMPARED with the popular hyperspherical coordinate scheme, the HHGLF method proposed by Deng and others has the advantages of rapid hyperradial convergence, analytical solution and huge basis set calculation. However, the problem of slow convergence in the hyperangle part still exists as other hyperspherical harmonics (HH) methods do. To solve the prob- 展开更多
关键词 hyperspherical COORDINATES 3S EXCITED states nonvariational calculation helium-like systems.
原文传递
Variational Calculations for (ns2) 1Se, (np2) 1De and (nd2) 1Ge Resonance States for He Isoelectronic Sequences below the n = 2, 3 and 4 Hydrogenic Thresholds
3
作者 Matabara Dieng 《Journal of Modern Physics》 2023年第12期1617-1633,共17页
This work presents results of the different parameters which characterize the nonrelativistic Hamilton operator for the helium atoms allowing us to solve the Schrödinger equation. The total energy is decomposed i... This work presents results of the different parameters which characterize the nonrelativistic Hamilton operator for the helium atoms allowing us to solve the Schrödinger equation. The total energy is decomposed into three terms allowing to separate the kinetic energy, the electrons-nucleus interaction energy and the electron-electron interaction energy of the (2s<sup>2</sup>, 3s<sup>2</sup> and 4s<sup>2</sup>) <sup>1</sup>S<sup>e</sup>, (2p<sup>2</sup>, 3p<sup>2</sup> and 4p<sup>2</sup>) <sup>1</sup>D<sup>e</sup> and (3d<sup>2</sup> and 4d<sup>2</sup>) <sup>1</sup>G<sup>e</sup> resonance singlet states of the helium isoelectronic sequences. The states have been defined by using special forms of the Hylleraas type wave functions. The calculations have been carried out in the framework of the variational method using configuration interaction basis states with a real Hamiltonian. The agreement of the energy value of other states between the present theoretical values available in the literature is excellent. But as for the comparison of the kinetic energies, the electrons-nucleus energies interaction and the electron-electron interaction energies, we note a slight difference with the theoretical values common in literature. 展开更多
关键词 Hylleraas Method helium-like Ions Systems Singlet Doubly-Excited States Matrix Elements AUTOIONIZATION
下载PDF
Variational Calculation of the Doubly-Excited States Nsnp of He-Like Ions via the Modified Atomic Orbitals Theory 被引量:1
4
作者 Abdourahmane Diallo Ibrahima Sakho +2 位作者 Jean Kouhissoré Badiane Mamadou Diouldé Ba Modou Tine 《Journal of Modern Physics》 2021年第2期105-121,共17页
In this paper, we have declined the formalism of the method of the Modified Atomic Orbital Theory (MAOT) applied to the calculations of energies of doubly excited states 2<em>snp</em>, 3<em>snp</e... In this paper, we have declined the formalism of the method of the Modified Atomic Orbital Theory (MAOT) applied to the calculations of energies of doubly excited states 2<em>snp</em>, 3<em>snp</em>, and 4<em>snp</em> Helium-like systems. Then we also applied the variational procedure of the Modified Atomic Orbital Theory to the computations of total energies, excitation energies of doubly-excited states 2<em>snp</em>, 3<em>snp</em>, 4<em>snp</em> types of Helium-like systems. The results obtained in this work are in good agreement with the experimental and theoretical values available. 展开更多
关键词 Modified Atomic Orbital Theory Doubly Excited States Excitation Energy helium-like Systems
下载PDF
Energy Positions of the <sup>1,3</sup>D<sup>e</sup>Rydberg Series of the He-Like Ions Up to the <i>N</i>= 9 Threshold
5
作者 Matabara Dieng Babou Diop +4 位作者 Malick Sow Youssou Gning Mamadi Biaye Ababacar Sadikhe Ndao Ahmadou Wagué 《Journal of Applied Mathematics and Physics》 2020年第8期1535-1549,共15页
The <img alt="" src="Edit_a001991b-d72d-4ec7-885a-6fd2c587397c.bmp" /> <span><span style="font-family:Verdana;"></span><span style="font-family:Verdana;&qu... The <img alt="" src="Edit_a001991b-d72d-4ec7-885a-6fd2c587397c.bmp" /> <span><span style="font-family:Verdana;"></span><span style="font-family:Verdana;">doubly excited states of helium-like ions are investigated using a combination of the no-linear parameters of Hylleraas and the </span><i><span style="font-family:Verdana;">β</span></i><span style="font-family:Verdana;">-parameters of screening constant by unit nuclear charge. Calculations are performed for total energies of low-lying doubly excited states (</span><i><span style="font-family:Verdana;">N</span></i><span style="font-family:Verdana;"> = 2</span></span><span><span><span><span> </span></span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">-</span></span></span></span><span><span><span><span> </span></span></span></span><span><span><span><span><span style="font-family:Verdana;">9)</span><i> </i><span style="font-family:Verdana;">in He-like ions up to </span><i><span style="font-family:Verdana;">Z</span></i><span style="font-family:Verdana;"> = 10. The results obtained from the novel method are in good agreement with the available theoretical calculations and experimental observations.</span></span></span></span></span> 展开更多
关键词 Electronic Correlations Variational Calculations Atoms And Ions helium-like Systems Singlet States Triplet States Matrix Elements Doubly-Excited States AUTOIONIZATION
下载PDF
Calculations Energy of the (<i>nl</i><sup>2</sup>) <sup>1</sup><i>L<sup>π</sup></i>Doubly Excited States of Two-Electron Systems via the Screening Constant by Unit Nuclear Charge Formalism
6
作者 Momar Talla Gning Ibrahima Sakho Malick Sow 《Journal of Modern Physics》 2020年第11期1891-1910,共20页
In this work, the total energies of doubly excited states (<em>ns</em><sup>2</sup>) <sup>1</sup>S<sup>e</sup>, (<em>np</em><sup>2</sup>) <sup&... In this work, the total energies of doubly excited states (<em>ns</em><sup>2</sup>) <sup>1</sup>S<sup>e</sup>, (<em>np</em><sup>2</sup>) <sup>1</sup>D<sup>e</sup>, (<em>nd</em><sup>2</sup>) <sup>1</sup>G<sup>e</sup>, (<em>nf</em><sup>2</sup>) <sup>1</sup>I<sup>e</sup>, (<em>ng</em><sup>2</sup>) <sup>1</sup>K<sup>e</sup>, and (<em>nh</em><sup>2</sup>) <sup>1</sup>M<sup>e</sup> of the helium isoelectronic sequence with Z ≤ 10 are calculated in the framework of the variational method of the Screening Constant by Unit Nuclear Charge (SCUNC). These calculations are performed using a new wavefunction correlated to Hylleraas-type. The possibility of using the SCUNC method in the investigation of high-lying Doubly Excited States(DES) in two-electron systems is demonstrated in the present work in the case of the (<em>nl</em><sup>2</sup>) <sup>1</sup><em>L</em><sup><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;"><em>&pi;</em></span></span></span></sup> doubly excited states, where accurate total energies are tabulated up to <em>n</em> = 20. All the results obtained in this paper are in agreement with the values of the available literature and may be useful for future experimental and theoretical studies on the doubly excited (<em>nl</em><sup>2</sup>) <sup>1</sup><em>L</em><sup><span style="white-space:nowrap;"><span style="white-space:nowrap;"><em>π</em></span></span></sup> states of two-electron systems. 展开更多
关键词 Doubly Excited States helium-like Systems Screening Constant by Unit Nuclear Charge (SCUNC) Wave Functions Correlated Total Energy
下载PDF
Modified atomic orbital theory applied to the calculation of high-lying <sub>2</sub>(K,T)<sub>n</sub><sup>±1,3</sup>P°rydberg series of he-like ions
7
作者 Ibrahima Sakho 《Natural Science》 2012年第1期73-78,共6页
The 2(1,0)n-1P°, 2(1,0)n +3P°, 2(0,1)n+1P°, and 2(0,1)n-3P° intershell Rydberg series of the helium-like ions are investigated in the framework of the modified Atomic Orbital Theory (MAOT). High-ly... The 2(1,0)n-1P°, 2(1,0)n +3P°, 2(0,1)n+1P°, and 2(0,1)n-3P° intershell Rydberg series of the helium-like ions are investigated in the framework of the modified Atomic Orbital Theory (MAOT). High-lying energy resonances of He and excitation energy of the he- lium-like Li+ up to n = 10 are tabulated. In addition, total energy positions for low-lying states (n1,3P° autoionizing states of two-electron systems. 展开更多
关键词 ATOMIC Orbital Theory Screening constant SEMI-EMPIRICAL calculations autoionizing states Rydberg series helium-like IONS
下载PDF
Classical Dynamics of Muonic-Electronic Helium and Heliumlike Ions: The Allowance for the Eccentricity of the Muon and Nucleus Orbits
8
作者 Nikolay Kryukov Eugene Oks 《Open Journal of Microphysics》 2021年第3期27-36,共10页
In the previous paper by one of us (hereafter paper I), the author considered Rydberg states of the muonic-electronic helium atom or helium-like ion and used the fact that the muon motion occurs much more rapidly than... In the previous paper by one of us (hereafter paper I), the author considered Rydberg states of the muonic-electronic helium atom or helium-like ion and used the fact that the muon motion occurs much more rapidly than the electron motion. Assuming that the muon and nucleus orbits are circular, he applied the analytical method based on separating rapid and slow subsystems. He showed that the electron moves in an effective potential that is mathematically equivalent to the potential of a satellite orbiting an oblate planet like the Earth. He also showed that the “unperturbed” elliptical orbit of the electron engages in two precessions simultaneously: the precession of the electron orbit in the plane of the orbit and the precession of the orbital plane of the electron around the axis perpendicular to the plane of the muon and nuclear orbits. The problem remained whether or not the allowance for the ellipticity of the orbit could significantly change the results. In the present paper, we address this problem: we study how the allowance for a relatively low eccentricity ε of the muon and nucleus orbits affects the motion of the electron. We derive an additional, ε-dependent term in the effective potential for the motion of the electron. We show analytically that in the particular case of the planar geometry (where the electron orbit is in the plane of the muon and nucleus orbits), it leads to an additional contribution to the frequency of the precession of the electron orbit. We demonstrate that this additional, ε-depen- dent contribution to the precession frequency of the electron orbit can reach the same order of magnitude as the primary, ε-independent contribution to the precession frequency. Therefore, the results of our paper seem to be important not only qualitatively, but also quantitatively. 展开更多
关键词 Muonic-Electronic Helium Muonic-Electronic helium-like Ions Rydberg States Role of the Eccentricity of the Muon Orbit Precession of the Electron Orbit
下载PDF
On the accuracy of the potential harmonic functions
9
作者 王沂轩 李林尉 +2 位作者 边文生 刘成卜 邓从豪 《Chinese Journal of Chemistry》 SCIE CAS CSCD 1999年第6期561-569,3,共9页
The matrix elements of the correlation function between symmetric potential harmonics am simplified into the analytical summations of the grand angular momenta by dy using the recurrence and coupling relations of the ... The matrix elements of the correlation function between symmetric potential harmonics am simplified into the analytical summations of the grand angular momenta by dy using the recurrence and coupling relations of the potential harmonics. 'The correlation-function potential-harmonic and generalized-Laguerre-function method (CFPHGLF), recently developed by us, is applied to the S states of the helium-like systems for Z = 2 to 9. The results exhibit good convergence with the bases in tern of both the angular and radial directions. The final eigen-energies agree excellently with the best s-limits of the variational configuration interaction (CI) method for the involved low-lying S states. The accuracy of the potential harmonic (PH) expansion scheme is discussed relative to the exact Hylleraas CI results (HCI), and Hartree-Fock results. Moreover, suggestion is given for the future improvement of the PH scheme. 展开更多
关键词 Potential harmonic function radial solution helium-like system
全文增补中
Correlation-function potential-harmonic and generalized Laguerre function method for directly solving Schrodinger equations of atoms
10
作者 王沂轩 邓从豪 《Science China Chemistry》 SCIE EI CAS 1996年第3期318-326,共9页
The potential-harmonic and generalized Laguerre function method (PHGLF) was modified into the correlation-function potential-harmonic and generalized Laguerre function method (CFPHGLF). The eigenenergies for 21S, 31S ... The potential-harmonic and generalized Laguerre function method (PHGLF) was modified into the correlation-function potential-harmonic and generalized Laguerre function method (CFPHGLF). The eigenenergies for 21S, 31S and 41S states of helium-like systems from the CFPHGLF are much more accurate than those from the previous PHGLF, but the eigenenergy for the 11S is not as good as that from the PHGLF method. The results indicate that the electron-nucleus cusp plays more important role than the electron-electron cusp and the cluster structure for the loosely bound excited states, and that the electron-electron cusp is absolutely essential for the tightly bound ground state. 展开更多
关键词 hyperspherical COORDINATES POTENTIAL harmonics GENERALIZED LAGUERRE function helium-like THREE-BODY systems.
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部