Electrodynamics of the Electron Orbital Motion in the Hydrogen Atom Considered in Reference to the Microstructure of the Electron Particle and Its Spin

Electrodynamics of the one-electron currents due to the circular orbital motion of the electron particle in the hydrogen atom has been examined. The motion is assumed to be induced by the time change of the magnetic field in the atom. A characteristic point is that the electric resistance calculated for the motion is independent of the orbit index and its size is similar to that obtained earlier experimentally for the planar free-electron-like structures considered in the integer quantum Hall effect. Other current parameters like conductivity and the relaxation time behave in a way similar to that being typical for metals. A special attention was attached to the relations between the current intensity and magnetic field. A correct reproduction of this field with the aid of the Biot-Savart law became possible when the geometrical microstructure of the electron particle has been explicitly taken into account. But the same microstructure properties do influence also the current velocity. In fact the current suitable for the Biot-Savart law should have a speed characteristic for a spinning electron particle and not that of a spinless electron circulating along the orbit of the original Bohr model.

Molecular Orbital Study on the Optimized Geometries and Spectroscopic Parameters of Borate Polyhedra

In this paper several methods including MNDO, multiple scattering Xa and ab initio self-consistent-field MO theories have been used to calculate the minimum energy geometries, force constants, vibrational frequencies, and 11B quadruple coupling constants of B-O polyhedra such as [BO3], [BO4], [OB2]and [OB3]. The results are in good agreement with the experimental and calculated values so far published by other authors.

Unified treatment of one-range addition theorems for integer and non-integer n-STO, -GTO and -generalized exponential type orbitals with hyperbolic cosine in position, momentum and four-dimensional spaces

Simpler formulas are derived for one-range addition theorems for the integer and noninteger n generalized ex- ponential type orbitals, momentum space orbitals, and hyperspherical harmonics with hyperbolic cosine （GETO HC, GMSO HC, and GHSH HC） in position, momentum and four-dimensional spaces, respectively. The final results are expressed in terms of one-range addition theorems of complete orthonormal sets of Ca-exponential type orbitals, Ca- momentum space orbitals and za-hyperspherical harmonics. We notice that the one-range addition theorems for integer and noninteger n-Slater type orbitals and Gaussian type orbitals in position, momentum and four dimensional spaces are special cases of GETO HC, GMSO HC, and GHSH HC. The theorems presented can be useful in the accurate study of the electronic structure of atomic and molecular systems.

Analysis of Dynamical Behavior of One-Dimensional Real Maps: An Executable Dynamical Programming Software Approach

The dynamical behavior of real-world phenomena is implausible graphically due to the complexity of mathematical coding. The present article has mainly focused on some one-dimensional real maps’ dynamical behavior irrespective of using coding. In continuation, linear, quadratic, cubic, higher-order, exponential, logarithmic, and absolute value maps have been used to scrutinize their dynamical behavior, including the characteristics of the orbit of points. Dynamical programming software (DPS.exe) will be proposed as a new technique to ascertain the dynamical behavior of said maps. Thus, a mathematician can automatically determine one-dimensional real maps’ dynamical behavior apart from complicated programming code and analytical solutions.

Calculation of multicentre nuclear attraction integrals over Slater-type orbitals using unsymmetrical one-range addition theorems

Using the unsymmetrical one-range addition theorems introduced by one of the authors with the help of complete orthonormal sets of $／varPsi ^／alpha $-exponential type orbitals （$／alpha = 1,0, - 1, - 2,...）$, this paper presents the sets of series expansion relations for multicentre nuclear attraction integrals over Slater-type orbitals arising in Hartree--Fock--Roothaan equations for molecules. The final results are expressed through multicentre charge density expansion coefficients and basic integrals. The convergence of the series is tested by calculating concrete cases for arbitrary values of parameters of orbitals.

Ground State Energy Calculations of Isoelectronic Series of He in Double-Zeta Approximation Using Coulomb Potential with Noninteger Indices

Using formulae for one- and two-electron integrals of Coulomb interaction potential fk （r） = r^-k with non-integer indices k established by one of the authors with the help of complete orthonormal sets of ψ^α-exponential-type orbitals （α = 1, 0,-1,-2,…）, we perform the calculations for isoelectronic series of the He atom containing nuclear charges from 2 to 10, where k = 1 - μ （-1 〈 μ 〈 0）. For this purpose we have used the double-zeta approximation, the configuration interaction and coupled-cluster methods employing the integer-n Slater-type orbitals as basis sets. It is demonstrated that the results of calculations obtained are better than the numerical Hartree-Fock values.

Periodic Solutions of a Cooperative System with State Feedback Control

In this paper, we propose a semi-continuous dynamical system to study the cooperative system with feedback control. Based on geometrical analysis and the analogue of Poincare criterion, the existence and stability of the positive order one periodic solutions are given. Numerical results are carried out to illustrate the feasibility of our main results.

利用单向多普勒确定“天问一号”轨道

“天问一号”任务中,单向多普勒轨道确定在我国深空探测任务中得到首次实际应用。本文提出了基于单向多普勒的“天问一号”轨道确定方法。首先对单向多普勒进行观测建模和误差理论分析,然后利用“天问一号”中继轨道段的单向多普勒进行定轨计算,最后使用定轨结果与基准轨道的星历进行比较及重叠弧段轨道比较两种方法,分析仅利用单向多普勒的定轨精度,验证了单向多普勒的定轨能力。分析表明,星载频率源的不稳定和太阳相位闪烁噪声是影响单向多普勒测速精度的主要误差源,“天问一号”中继轨道段,仅利用单向多普勒数据可以实现优于1 km的定轨精度,这为未来我国更遥远的深空探测任务实施提供了重要技术存储。

一维Frenkel-Kontorova模型原子链的同宿轨和拟周期行为研究

基于一维Frenkel-Kontorova模型,研究了原子链系统的同宿轨道、多周期振荡和拟周期振荡的动力学行为.首先,根据Jacobian矩阵的特征值判断了系统存在双曲型鞍焦点;其次,运用Silnikov定理判定了系统在鞍焦点处产生同宿轨道的条件;最后,通过数值模拟验证了系统存在同宿轨道、多周期振荡和拟周期振荡的动力学行为.本文的研究结果也为固体摩擦现象的研究提供了一个有价值的参考.

One-range addition theorems for generalized integer and noninteger μ Coulomb,and exponential type correlated interaction potentials with hyperbolic cosine in position,momentum,and four-dimensional spaces

The formulae are established in position,momentum,and four-dimensional spaces for the one-range addition theorems of generalized integer and noninteger μ Coulomb,and exponential type correlated interaction potentials with hyperbolic cosine（GCTCP and GETCP HC）.These formulae are expressed in terms of one-range addition theorems of complete orthonormal sets of Ψα-exponential type orbitals（Ψ α-ETO）,α-momentum space orbitals（α-MSO）,and zα-hyperspherical harmonics（zα-HSH） introduced.The one-range addition theorems obtained can be useful in the electronic structure calculations of atoms and molecules when the GCTCP and GETCP HC in position,momentum,and four-dimensional spaces are employed.

Topological phase in one-dimensional Rashba wire

We study the possible topological phase in a one-dimensional（1D） quantum wire with an oscillating Rashba spin–orbital coupling in real space. It is shown that there are a pair of particle–hole symmetric gaps forming in the bulk energy band and fractional boundary states residing in the gap when the system has an inversion symmetry. These states are topologically nontrivial and can be characterized by a quantized Berry phase ±π or nonzero Chern number through dimensional extension. When the Rashba spin–orbital coupling varies slowly with time, the system can pump out 2 charges in a pumping cycle because of the spin flip effect. This quantized pumping is protected by topology and is robust against moderate disorders as long as the disorder strength does not exceed the opened energy gap.

地月空间星地双向单程测量高精度模型

针对使用星地双向单程测量技术实现给定场景下的地月空间高精度测量问题,建立了地月空间纳秒级星地时差解算模型与米级瞬时距离解算模型,定量分析了模型中各因素的量级,并对模型中收发时延、引力时延、定轨误差和大气延迟等多种因素引入的时差和距离估算误差进行了定量分析。仿真数据的处理结果校验了误差量级理论分析的准确性,时差估算的均方根误差优于7.6ns,瞬时距离估算均方根误差优于2.4 m。建立的模型可以对地月空间星地DOWR测量数据进行高精度处理,实现地月空间高精度时间比对,支持未来中国载人登月等任务及地月空间高精度导航技术。

一维综合孔径微波辐射计在轨定标方法

G矩阵反演法是一维综合孔径辐射计普遍采用的图像重构算法,其实现包含两个关键要素:系统响应G矩阵标定和有效的数值反演算法。目前,在轨运行的辐射计采用系统误差分步测量的定标方法。在G矩阵反演法和点源测量G矩阵的理论基础上,对相应点源测量试验过程和水体成像试验过程进行了介绍,并对成像精度进行了分析,验证了整体定标的可行性。接着,提出了在轨G矩阵定标方法,并分析了卫星机动对载荷的影响。相比于目前在轨应用的分步测量系统误差的定标方法,该方法利用外部定标源整体标定系统响应G矩阵,能够简化分步定标各系统参数的定标过程,实现符合设计的成像精度,为后续高精度的图像重构算法提供保证,给一维综合孔径辐射计在轨定标提供了新的思路。

敏捷卫星同轨多条带拼幅成像模式研究

针对长宽均明显大于相机幅宽的区域目标的成像观测,文章建立了敏捷卫星同轨多条带拼幅成像工作模式。对区域目标的划分,用相机视场角随卫星姿态机动扫描将区域分割成多个条带,使得划分的条带能够完全覆盖目标区域,并保证相邻条带之间足够的重叠宽度。对区域划分后得到的条带,分析了可行的观测序列,建立了成像起始时刻优化模型,采用序列二次规划方法对该模型进行求解。

线性谐振子的坐标-动量不确定关系

讨论了量子力学中的不确定性原理,定量计算了线性谐振子的坐标-动量之间以及动能-势能之间的不确定度,证明了它们满足一般的不确定关系,并澄清了一些有关不确定关系的错误理解和描述.

具有状态脉冲效应的阶段结构的害虫防治模型动力性分析(英文)

本文对符合实际的具有状态脉冲效应的阶段结构的害虫防治模型进行研究,给出半连续动力系统、半连续动力系统的后继函数等的定义,根据动力系统的基本理论,采用脉冲微分方程几何理论的方法研究模型定义的半连续动力系统各种几何性质,得到系统存在阶1周期解的充分条件,阶1周期解全局轨道渐近稳定性的充分条件.获得的理论结果说明我们可以经过一次脉冲、两次脉冲、多次脉冲就能完全控制害虫使之不超过阖值.最后,我们用数值模拟的方法说明结果的正确性.

GPS轨道合成原理及其实现

采用轨道叠加的方法,对将单天解轨道合成为多天解轨道算法过程进行了详细推导,并通过算例证明了轨道合成对提高轨道产品精度(特别是在局域定轨中)的有效性。同时对利用动力平滑的方法实现简化的轨道合成进行了原理分析,并对基于法方程叠加的轨道合成与利用动力平滑的方法进行简化的轨道合成方法进行了比较。

小切口除眶脂后连续埋线法重睑术的临床应用

目的:探索手术创伤小、术后恢复快、效果持久的独立小切口重睑术的临床效果。方法:对于上眼睑不需要切除松弛皮肤的受术者分别于双上眼睑内1/3处设计一个2mm小切口,切除眶隔脂肪后,行改良埋线法重睑术。结果:3年共行微创小切口重睑术128例,125例效果满意。结论:本术式操作简单、肿胀轻、术后恢复快、重睑线自然、流畅,效果持久。

星间单程伪距联合监测站数据确定北斗三号卫星轨道和钟差

提出利用原始单程星间伪距数据联合地面监测站载波相位和伪距数据同时确定北斗卫星轨道和钟差的方法。该方法引入时间窗概念,用多项式表示卫星钟差,从而能够直接对非同时观测的原始单程伪距数据进行平差处理。收集中国境内的6个iGMAS监测站和星间测距数据对北斗三号卫星进行轨道和钟差确定试验。结果表明,轨道重叠段互差在R、T和N方向的RMS分别为0.078、0.321和0.375 m,钟差重叠段互差的RMS和STD分别达到0.589和0.519 ns。相比于仅用国内监测站数据的结果,轨道和钟差的改进幅度分别超过80%和60%。星间链路单程伪距残差的平均RMS为0.083 m,星间链路信号发射和接收设备时延偏差估值的平均稳定度分别为0.53和0.72 ns。

4-(1,2,4-三唑-5-酮-4-基)-3-硫代脲酸乙酯的合成、晶体结构及理论计算

4-氨基-1,2,4-三唑-5-酮(ATO)与硫氰酸钾、氯甲酸乙酯在乙酸乙酯中反应,合成了4-(1,2,4-三唑-5-酮-4-基)-3-硫代脲酸乙酯,在室温下采用缓慢蒸发溶剂二甲基甲酰胺得到合适的可用于X射线衍射的单晶.晶体属六方系,空间群为R-3,晶体结构参数为a=2.60524(7)nm,b=2.60524(7)nm,c=0.82579(6)nm,γ=120°,V=4.8540(4)nm3,Dc=1.442g/cm3,μ=0.300mm-1,F(000)=2190,Z=18,R1=0.0569,wR2=0.1424.选取标题化合物的一个结构单元作为初始模型,运用Gaussian03程序对化合物进行了HF/6-311G,MP2/6-311G和B3LYP/6-311G水平的几何全优化,并对其原子电荷及自然键轨道(NBO)进行了分析.