人造地球卫星运动方程的代数动力学算法数值解

代数动力学算法首次被用于求人造地球卫星运动方程的数值解，在四阶算法下，与Runge-Kutta算法和辛算法的计算结果作了比较.结果表明，代数动力学算法对于人造地球卫星长期轨道的计算有较高的精度.并讨论了地球四极和八极带谐项对卫星轨道的影响. 关键词： 人造地球卫星运动方程 代数动力学算法数值解 地球四极和八极带谐项对卫星轨道的影响     

苯胺四聚体与聚乙二醇嵌段及星型共聚物的合成及表征

以氨基封端的苯胺四聚体为基础, 通过将端氨基取代为不同数量的羧基, 得到了一系列连接臂数不同的苯胺四聚体-聚乙二醇共聚物, 对反应历程中的各阶段产物进行了结构表征, 并对苯胺四聚体及最终产物进行了电化学性能测试. 结构表征证明反应按照设计路线成功进行并得到了理想的产物; 循环伏安特性曲线表明, 共聚物基本保留了苯胺四聚体的电化学性能, 可以发生从还原态到中间态再到氧化态的转变.     

Fractional charges and fractional spins for composite fermions in quantum electrodynamics

By using the Faddeev-Senjanovic path integral quantization method, we quantize the composite fermions in quantum electrodynamics (QED). In the sense of Dirac’s conjecture, we deduce all the constraints and give Dirac’s gauge transformations (DGT). According to that the effective action is invariant under the DGT, we obtain the Noether theorem at the quantum level, which shows the fractional charges for the composite fermions in QED. This result is better than the one deduced from the equations of motion for the statistical potentials, because this result contains both odd and even fractional numbers. Furthermore, we deduce the Noether theorem from the invariance of the effective action under the rotational transformations in 2-dimensional (x, y) plane. The result shows that the composite fermions have fractional spins and fractional statistics. These anomalous properties are given by the constraints for the statistical gauge potential.     

Application of Symplectic Algebraic Dynamics Algorithm to Circular Restricted Three-Body Problem

Symplectic algebraic dynamics algorithm （SADA ） for ordinary differential equations is applied to solve numerically the circular restricted three-body problem （CR3BP） in dynamical astronomy for both stable motion and chaotic motion. The result is compared with those of Runge~Kutta algorithm and symplectic algorithm under the fourth order, which shows that SADA has higher accuracy than the others in the long-term cMculations of the CR3BP.     

Resonant tunneling and quantum fluctuation in a driven triple-well system

The influence of parameters such as the strength and frequency of a periodic driving force on the tunneling dynamics is investigated in a symmetric triple-well potential. It is shown that for some special values of the parameters, tunneling could be enhanced considerably or suppressed completely. Quantum fluctuation during the tunneling is discussed as well and the numerical results are presented and analysed by virtue of Floquet formalism.