高亮度注入器腔形径向电场的线性化

讨论了驻波腔内射频场力对电子束横向运动的影响，求出了使加速腔内径向电场线性化的阳极等位线方程。并给出了使径向电场Ｅ＿ｒ线性化的加速腔鼻锥设计所应遵循的原则，以及驻波腔径向电场线性化程度的判据。     

束缚态径向方程和■~-超核的结合能(英文)

无论从薛定谔方程或是Dirac方程的低能近似出发都可导出同一标准形式的径向方程,这种径向方程可用三点中央差分格式从中心两点出发向外递推求解,给出了一种求解束缚态的能量本征值及其径向波函数的方法并计算分析了几个Ξ~-超核的基态结合能。     

束缚态径向方程和Ξ-超核的结合能

无论从薛定谔方程或是Dirac方程的低能近似出发都可导出同一标准形式的径向方程,这种径向方程可用三点中央差分格式从中心两点出发向外递推求解. 给出了一种求解束缚态的能量本征值及其径向波函数的方法并计算分析了几个Ξ-超核的基态结合能.     

连带拉盖尔方程的推广

本文中利用变换得到了连带拉盖尔方程的推广形式,可以直接用在类氢离子的径向波函数所满足的径向方程的本征值问题上,免去利用渐近解的形式对径向方程作进一步的变换.本文可供对此类问题有兴趣的物理教师参考.     

弹性薄圆环的超声频径向振动及其等效电路研究

对各向同性弹性薄圆环的径向振动进行了研究,得出了其等效电路。在此基础上,推出了其径向振动的频率方程以及振子的共振频率的表达式,利用数值法得出了不同材料弹性薄圆环径向振动频率方程的一系列根。经过拟合,得出了频率方程的根与振子材料的泊松系数的拟合关系曲线,从而大大方便了径向振动薄圆环的工程设计及计算。     

束缚态径向方程和Ξ－超核的结合能

无论从薛定谔方程或是Dirac方程的低能近似出发都可导出同一标准形式的径向方程,这种径向方程可用三点中央差分格式从中心两点出发向外递推求解,给出了一种求解束缚态的能量本征值及其径向波函数的方法并计算分析了几个Ξ^－超核的基态结合能.     

Dirac方程的数值解法及其在原子总能量计算中的应用

中心势近似下径向Dirac方程的求解是相对论性原子(离子)结构计算的基础.本文通过相对论性方程中径向波函数大分量与非相对论方程径向波函数的类比,提出了径向Dirac方程的一种数值解法.为了验证数值解法的精度和可靠性,首先将数值结果与类氢势作用下的解析解进行比较.然后,将这种算法扩展到基于解析势的相对论性原子结构计算中,并将计算出的总能量与实验结果和其他方法得到的结果进行对比.     

二维氢原子径向方程的两种解法

本文利用两种方法求解二维氢原子的径向方程：一是升降算符法，由所定义的关于量子数ｍ的升降算符，给出了径向波函数之间的递推公式，求出了二维氢原子的能级和径向波函数的表达式；二是通过与三维氢原子径向方程的类比，在三维氢原子径向波函数的基础上，直接给出了二维氢原子径向波函数的一般表示式．两种解法所得结果完全一致．     

环形振子势的精确解

将环形振子势的Schrödinger方程在球坐标系中进行变量分离.然后求解了角向方程和径向方程,给出了精确的能谱方程.获得了用普遍的缔合Legendre多项式表示的归一化的角向波函数和用合流超几何函数表示的归一化的径向波函数.     

势问题的径向基函数——局部边界积分方程方法

将基于径向基函数构造的具有插值特性的近似函数和局部边界积分方程方法相结合，建立了求解势问题的径向基函数——局部边界积分方程方法，推导了相应离散方程.与其他边界积分方程的无网格方法相比，本文方法具有数值实现过程简单、计算量小、精度高的优点，并可直接施加边界条件.最后通过算例说明了该方法的有效性. 关键词： 径向基函数 无网格方法 局部边界积分方程 势问题     

Mode-coupling assisted electron accelerations by a plasma wave

The acceleration of electrons by a plasma wave in the presence of density ripple in plasma has been investigated. Plasma density ripple can excite higher harmonics of different phase velocities of the fundamental plasma wave. The combined role of the different harmonics of the plasma wave contributes significantly in electrons energy gain during acceleration by the fundamental plasma wave. Our calculation shows that the plasma electrons gain considerable energy during the acceleration by the plasma waves in the presence of a density ripple in plasma. The initial electron energy and the ripple density play an important role for the acceleration of an electron.     

低杂波驱动的共振电子径向能量输运

在低杂波驱动电流的托卡马克中,可出现波驱动的共振电子径向能流,由定向能流和传导型能流两部分组成,其效应可能与碰撞效应可比,从而改变了驱动电流的基本图象。 关键词：     

Observable consequences of Langmuir turbulence in active galacticnuclei

The author discusses in detail the observable consequences of nonlinear microscopic plasma processes in active galactic nuclei. The combination of several elementary momentum-gain (shock acceleration and stochastic acceleration) and momentum-loss processes (synchrotron radiation, inverse Compton scattering) produces an almost monoenergetic distribution function of relativistic electrons, called the pile-up, which excites Langmuir waves. Turbulent wave-wave and wave-particle interactions lead to nonlinear stabilization of the pile-up. The temporal and spatial evolution of the Langmuir waves and the relativistic electrons determines the shape and time scale of the spectral variations. The model is applied to extragalactic nuclei and to the galactic center as well     

Formation and dynamics of relativistic electromagnetic solitons in plasmas containing high-and low-energy electron components

We present theoretical and numerical studies of the nonlinear interactions between intense electromagnetic waves in plasmas containing high-and low-energy electron components. Such plasmas are frequently observed in laser-plasma experiments, where the hot electron component is created by the acceleration of electrons by strong electrostatic waves that are created by the laser-induced Raman forward and backward instabilities. The two-component electron plasma is described by the Vlasov equation for the hot electrons and the hydrodynamic equations for the cold electrons, which are coupled nonlinearly to the electromagnetic wave equation and the Poisson equation for the potential. The present nonlinear system is shown to admit electromagnetic solitary waves correlated with a positive potential and trapped electron islands from the hot electron population. The text was submitted by the authors in English.     

脉冲等离子体辐射微波机理的初步研究

 在分析了等离子体辐射微波的电流波形和喇叭天线接收到的微波信号波形的基础上,对脉冲等离子体辐射微波的机理进行了理论分析：阴阳极间存在TEM和TM两种模式的波;流经等离子体的电流产生的磁场使等离子体中的波成为慢波;高频场的激励因素有两个,一是作加速运动的电子,二是阳极斑点溅射时阳极电位突降;同一时刻具有不同速度的电子将能量转换给相应相速的波是其产生超宽带辐射的原因。     

Parameters of the electron beam in a betatron with radial comb-type poles

Expressions for the vector potential and components of the magnetic field induction vector of a betatron with radial comb-type poles are derived. The dynamics of the electron beam in the electromagnetic betatron field is investigated in the process of electron injection and acceleration. It is demonstrated that the azimuthally varying field engender beam beats. However, the amplitudes of beam particle oscillations during acceleration do not exceed their values estimated from the symmetric azimuthal component of the betatron magnetic field induction. The energy spectrum of accelerated electrons is not described by a normal law. In the electron energy spectrum, the relative number of electrons whose energy exceeds the average value is large. Application of poles with radial combs improves the efficiency of electron capture in acceleration. Results of investigations can find application in the development and adjustment of electron beam accelerating systems. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 27–34, October, 2005.     

脉冲等离子体辐射微波机理的初步研究

在分析了等离子体辐射微波的电流波形和喇叭天线接收到的微波信号波形的基础上,对脉冲等离子体辐射微波的机理进行了理论分析：阴阳极间存在TEM和TM两种模式的波;流经等离子体的电流产生的磁场使等离子体中的波成为慢波;高频场的激励因素有两个,一是作加速运动的电子,二是阳极斑点溅射时阳极电位突降;同一时刻具有不同速度的电子将能量转换给相应相速的波是其产生超宽带辐射的原因。     

Generation and amplification of electromagnetic waves by an annular electron beam in a radial electric field in free space

Mechanisms for the generation and amplification of electromagnetic waves by a thin-walled annular beam of electrons rotating in a radial electric field in free space are studied theoretically. It is shown that electromagnetic waves can be generated and amplified under the Cherenkov resonance conditions. The frequencies and growth rates of the generated waves are determined, and the propagation characteristics and amplification coefficients of the amplified waves are found.     

Excitation of standing electron waves in fast-ion tracks

The specific case of slow-electron diffraction in fast-ion tracks is considered. The excitation condition for standing waves of δ electrons is a strong screening of the Coulomb interaction, for which most of the δ electrons are knocked out in radial directions relative to the track axis. In that case, an appreciable number of δ electrons with a wavelength of the order of the interatomic distance experience multiple backscatterings between the atomic chains located near the track axis. The lifetime of standing electron waves is estimated from diffractometric measurements of the decrease in atomic density on the track axis. The mobility of crystal atoms, their displacements, and the expenditure of energy on deformation are also estimated.     

Generation of electromagnetic waves by relativistic electrons in a cavity with crossed radial electrostatic and axial magnetic fields under plasma resonance conditions

A theoretical analysis is made of the conditions for generation of electromagnetic waves by a thin cylindrical layer of relativistic electrons rotating in crossed axial magnetic and radial electrostatic fields in a cylindrical cavity. A dispersion equation is obtained to describe the interaction between waves and electrons under plasma resonance conditions. The dependence of the growth rates on the relativistic factor and the magnetic field are studied. Zh. Tekh. Fiz. 69, 112–114 (June 1999)