f~N组态波函数的Young盘形式

本文给出用Young盘表达f~N组态谱项波函数的系统方法,特别是表达简并谱项波函数的方法,使得谱项的波函数和Racah群链的态分类一致。     

推求等效组态的原子谱项波函数

本文提出了推求复杂组态Ｌ－Ｓ耦合谱项波函数的系统方法，着重解决了推求多重谱项的谱项波函数这一难题，运用ＰＡＳＣＡＬ语言编制了计算程序，利用本程序可快速、准确地求出等效组态的ｓ＾Ｎ，ｐ＾Ｎ，ｄ＾Ｎ，ｇ＾Ｎ，ｉ＾Ｎ，ｋ＾Ｎ的Ｌ－Ｓ耦合谱项和谱项波函数     

关于等价电子组态波函数与Young盘间变换性质的讨论

指出了等价电子组态波函数与Young盘间变换性质是幺正的，而不是厄米幺正的.指出了一个谱项波函数的符号错误. 关键词： 群论 量子力学     

f~N组态谱项能计算的U群方法

本文在文献[10]的基础上,给出了用Young盘形式的谱项波函数计算f~N组态谱项能的系统方法,导出了若干Young盘基矩阵元的表达式和计算规则,并应用实际例子进行说明.     

CaⅢ等核及等电子系列离子3d波函数塌缩研究

利用HFR和LS-dependent(LS-D)的FIFR自洽场方法,系统地计算了CaⅢ等核及等电子系列离子的3d电子径向波函数,分析了3d波函数的塌缩规律,揭示了3d波函数的塌缩与谱项的强烈依赖关系,并进一步讨论了由于3d波函数的塌缩引起的3p6→3p53d跃迁能和振子强度的变化.     

氦原子1snd(n=4—11)组态下1D—3D谱项分裂值的计算

利用多体微扰理论(MBPT)计算了氦原子1snd(n=4—11)组态的１Ｄ—^３Ｄ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     

氦原子Rydberg态10G—10M磁精细结构的计算

通过自洽迭代求解Hartree方程，得到了氦原子1snl组态下的严格数值解波函数，以此构造LS耦合谱项(支项)波函数作为基矢.采用线性变分法，同时考虑交换作用和Breit-Bethe近似下的磁相互作用项，计算了氦Rydberg态10G—10M系列能级的磁精细结构，计算结果很好地符合已有的实验值.对计算方法的进一步改进提出了设想和讨论. 关键词： 氦原子 Rydberg态 磁精细结构 自洽迭代     

硼酸铝钕[NdAl3（BO3）4]晶体的晶场能级与发光特性

本文利用晶场理论分析了NdAl_3(BO_3)晶体的光谱特性和相应的能级结构。计算出该晶体的晶场参数,并由此得到了在晶场作用下4~F_(3/2),4~I_(11/2)和4~I_(9/2)三个谱项的所有斯塔克(Stark)子能级的本征波函数。利用所得的波函数和荧光分支比的实验值,用Judd-Ofelt理论估算了4~F_(3/2)→4~I_(11/2)的子能级间跃迁几率的相对值,并讨论了相应的偏振特性,较好地说明了激光和荧光实验的结果。     

等效电子组态(l1+l1-)的谱项波函数及能量矩阵的电子杨表表示

把电子组态（l^1 l^1-）给出的填布杨图称为电子杨表,给出了有关电子杨表与无微扰波函数之间的对应关系式,证明了电子杨表的正交归一性质,给出了电子组态（l^1 l^1-）谱项波函数的电子杨表表示,证明了由电子杨表给出的（l^1 l^1-）电子组态的能量矩阵为对角矩阵。     

构造dN谱项函数的一个新方法

本文利用群链U(5)(?)SO(5)(?)SO(3)(?)G的各级下降系数讨论了原子谱项函数的构造方法,计算了d~N谱项函数所需要的全部下降系数。此外,还给出了静电作用微扰哈密顿以酉群生成元表达的简洁形式。     

Stability of the inverse problem for the radial schrödinger equation with an increasing potential

It is shown that a potential reconstructed from a spectral function is stable with respect to an error in the determination of the spectral function at finite energies. The absence of spectral data at high energies leads to the consequence that at finite distances the term in the potential, averaged over the spatial period of the Compton wave length, is stable.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 45–49, March, 1987.     

关于层子模型中的电磁形式因子与结构波函数的积分表示

虽然从B-S方程出发,用谐振子位势来讨论介子的质谱,可以得到较好的结果,但是当用这样得到的近似波函数来计算电磁形式因子时,却给出形式因子对类空的q²为复数。本文指出,出现上述不合理结果的原因,在于所得的近似波函数不具有正确的对P₀的解析性。为了保证这种解析性同时又使波函数保持协变形式,比较适当的方法是,利用戴逊证明的定理将波函数写成积分表示。另外,根据波函数在x=0点为有限的物理要求,我们还给出了积分表示中的谱函数所应满足的一些求和条件。     

Numerical modelling of spectral,temporal and statistical properties of Raman fiber lasers

Efficient numerical modelling of the power, spectral and statistical properties of partially coherent quasi-CW Raman fiber laser radiation is presented. XPM between pump wave and generated Stokes wave is not important in the generation spectrum broadening and XPM term can be omitted in propagation equation what sufficiently speeds-up simulations. The time dynamics of Raman fiber laser (RFL) is stochastic exhibiting events several times more intense that the mean value on the ps timescale. However, the RFL has different statistical properties on different time scales. The probability density function of spectral power density is exponential for the generation modes located either in the spectrum centre or spectral wings while the phases are distributed uniformly. The pump wave preserves the initial Gaussian statistics during propagation in the laser cavity. Intense pulses in the pump wave are evolved under the SPM influence and are not disturbed by the dispersion. Contrarily, in the generated wave the dispersion plays a significant role that results in stochastic behavior.     

BF分子A1Π→X1Σ+带系与b3Σ+→a3Π带系的Franck-Condon因子计算

在双原子分子核运动的波动方程中，计入分子的振转相互作用项，得出的波函数除与振动量子数有关外，还与转动量子数有关．用该波函数编程序计算了BF分子A¹Π→X¹Σ⁺带系和b³Σ⁺→a³Π带系的Franck-Condon因子．计算中转动量子数的取值由J=0取至J=200，结果适用于低温、高温和强激波条件． 关键词：     

Emission Spectrum of an Atom in the Field of Intense Ultrashort Laser Pulse

The spectral probability densities of the spontaneous emission and the generation of harmonics by a hydrogen atom in the field of intense laser pulse are calculated. A previously proposed approach is used, which is based on the Kramers?Henneberger transformation for the wave function of time-dependent Schrödinger equation and expansion in the unperturbed atomic eigenstates and the photon states. The spectral range up to the tenth harmonic is investigated with the laser pulse duration ranging from 6 to 12 optical cycles and the peak intensity varied from 1 to 10 TWcm^?2.     

Potential of interaction of an Ar atom with a proton

The potential of interaction of an Ar atom with a proton is calculated. To verify the result obtained, the wave numbers of the vibrational-rotational spectral lines and the spectroscopic constants for the X¹Σ⁺ state of the ⁴⁰ArH⁺ molecular ion are calculated. The calculated wave numbers of the spectral lines and molecular constants are compared with experimental data.     

Nuclear spectral energy functions beyond the shell model

We predictl=0 nucleons in¹²C to have a negative (binding) energy centered around –22 MeV with a full width at half-maximum of 5.3 MeV. Thel=1 (P _3/2 nucleons) are predicted to have a much narrower spectral energy function centered around –10.6 MeV. A strongly correlated translational invariant wave function was used to describe the ground state nucleus. A central two-nucleon potential was utilized in the hyperspherical harmonic method to approximately solve the Schrödinger equation for the ground state wave function. Both confirmation and failings of the independent particle shell model are exposed.     

Width of the quasiparticle spectral function in a two-dimensional electron gas with spin-orbit interaction

The results of an investigation of the width of the electron and hole spectral functions in an isotropic electron gas with the Rashba spin-orbit interaction as a function of the wave vector within the G ⁰ W ⁰ approximation are reported. This kind of electron gas is used to simulate two-dimensional systems formed by electrons in In _x Ga_{1 − x} As layers of various heterostructures and by surface electron states on Au(111). It is demonstrated how the width of the spectral function changes as a result of the spin-orbit interaction and how it depends on the branch index of the energy spectrum split by this interaction.