静电波对磁化等离子体的共振加热的理论及数值模拟研究

利用多标度展开得到了更一般的静电波与磁化等离子体回旋运动间的共振条件；通过数值模拟证实了理论分析，发现分数频率同样可以产生共振加热；发现加热效果即使对于相同频率的波，也不是随驱动波的振幅单调增强，而是存在一些优势振幅，即在特定频率特定振幅下有特别好的加热效果. 关键词： 等离子体 共振加热 非线性动力学     

One-loop renormalizability of noncommutative U(1) gaugetheory with scalar fields

This paper uses the background field method to calculate one-loop divergent corrections to the gauge field propa- gators in noncommutative U(1) gauge theory with scalar fields. It shows that for a massless scalar field, the gauge field propagators are renormalizable to θ 2 -order, but for a massive scalar field they are renormalizable only to θ-order.     

非对易空间下高斯势中的氢原子能谱

利用Moyal-Weyl星乘和Bopp变换，在微扰论下对非对易空间条件下高斯势中的氢原子能级进行了修正，通过优化高斯势的参数得到能级修正的极值，为探测非对易时空参量提供了新的可能方案。     

Noncommutative QED Threshold Energy versus Optimum Collision Energy

Moeller scattering and Bhabha scattering on noncommutative (NC) space-time is restudied. It is shown that the NC correction of scattering sections is not monotonic enhancement with total energy of colliding electrons, that there is an optimum collision energy to perform the greatest NC correction. Surprisingly, there is a linear relation between NC quantum electrodynamics threshold energy and the optimum collision energy.     

非对易空间下高斯势中的氢原子能谱

利用Moyal-Weyl星乘和Bopp变换,在微扰论下对非对易空间条件下高斯势中的氢原子能级进行了修正,通过优化高斯势的参数得到能级修正的极值,为探测非对易时空参量提供了新的可能方案。     

Zakharov方程的显式行波解

借助Mathematica软件，采用双函数法和吴文俊消元法，获得了等离子体物理中的重要方程组Zakharov方程的十组行波解，其中包括包络孤波解，孤子解. 关键词： Zakharov方程 孤子解     

带边界的非线性薛定锷方程的孤立子解

本文用构造Lax Pari的方法，得到了对于光纤通讯系统有重要意义的非线性薛定锷（NLS）方程的可积边界条件，然后求得满足可积边界条件时的1－孤立子解和2－孤立子解。     

Resonant Acceleration of Electrons in Combined Self-Consistent Quasistatic Electromagnetic Fields and Intense Laser Fields

Using the single electron model, the acceleration of electrons in combined circularly polarized intense laser fields and the spontaneous quasistatic fields （including axial and azimuthal magnetic fields, the axial and transverse electric fields） produced in intense laser plasma interaction is investigated analytically and numerically by fitting the proper parameters of the quasistatic fields based on the data from the experiment and numerical calculation. A new resonant condition is given. It is found that the resonance acceleration of electron depends not only on laser field, but also on the bounce frequency oscillating in the quasistatic magnetic field and electric field. The net energy gained by electron does not increase monotonously with axial electric field, but there are some optimal axial electric fields.     

Boussinesq方程的扩展对称约化和新的相似解

将Simon Hood最近提出的扩展Clarkson和Kruskal (CK)方法，推广并应用于Boussinesq方程，得到了该方程的若干新的约化和相似解。该方法也适用于其他有重要物理背景的非线性演化方程。     

黎曼面的单值化与刘维场论

讨论了带puncture黎曼面上刘维场的monodromy,计算得到了与Fuchsian单值化紧密相联的刘维场经典交换代数和4n²×4n²阶的交换矩阵,讨论了它与SL(2n,R)的联系及其它性质。 关键词：