原子相对论波函数的平均自洽场计算

利用Dirac-Slater相对论自洽场理论研究了原子中电子的相对论波函数,说明了其主要特征:电子相对论波函数大小分量的变化趋势不完全"同步",即核外电子的分布没有严格的零几率点;通常电子相对论波函数的大小分量相差非常悬殊,但当束缚电子波函数的空间压缩较为严重、或自由电子的动能较大时,其相对论波函数的小分量的相对值就会增大,并在此基础上分析了束缚电子与自由电子波函数的主要异同点.     

Scattering of atomic particles at relativistic energies

This article is concerned with excitation, ionization and electron capture collisions between charged particles and atomic systems involving a single active electron, at impact energies which are so great that Lorentz transformations between the frames of reference of the incident and target particles must be carried out as well as relativistic dynamics employed. For excitations and ionization it is sufficiently accurate to use the relativistic generalization of the first Born approximation, but for electron capture it is necessary to carry through the analysis using a relativistic generalization of the second Born approximation. Also relativistic wave functions are employed to describe the active atomic electron.     

Relativistic ponderomotive forces

The interaction of a relativistic classical electron with an inhomogeneous electromagnetic field is investigated. In second-order perturbation theory the motion is separated into fast and slow motions, and the relativistic Newtonian equation is averaged over the fast oscillations. The rate of change obtained for the slow component of the electron momentum is interpreted as a relativistic ponderomotive force. The result is generalized to the relativistic case of the wellknown expression for the Gaponov-Miller force acting on an electron at rest. The expressions obtained for the relativistic ponderomotive forces are very complicated in the general case. They simplify in the limit of a stationary field (pulses of long duration) and a small gradient. The most typical and simplest special case of an inhomogeneous field—a stationary plane-focused beam—is investigated. The main difference between relativistic ponderomotive forces and their nonrelativistic limit is they have multiple components. In addition to the usual force directed along the gradient of the field, the relativistic case is also characterized by force components that do not have the form of the gradient of a potential and are parallel to the wave vector and the direction of the field polarization. It is shown that when a relativistic electron travels in a direction close to the direction of the wave vector of a focused laser beam, these components can greatly exceed the gradient force. A force directed along the field polarization vector arises even when the gradient of the field in this direction is zero. Zh. éksp. Teor. Fiz. 116, 1198–1209 (October 1999)     

Relativistic effects on the modulational instability of electron plasma waves in quantum plasma

Relativistic effects on the linear and nonlinear properties of electron plasma waves are investigated using the one-dimensional quantum hydrodynamic (QHD) model for a two-component electron?Cion dense quantum plasma. Using standard perturbation technique, a nonlinear Schr?dinger equation (NLSE) containing both relativistic and quantum effects has been derived. This equation has been used to discuss the modulational instability of the wave. Through numerical calculations it is shown that relativistic effects significantly change the linear dispersion character of the wave. Unlike quantum effects, relativistic effects are shown to reduce the instability growth rate of electron plasma waves.     

Modulational Instability of Ion-Acoustic Waves in a Warm Plasma with a Relativistic Electron Beam

The modulational instability of ion-acoustic wave in a collisionless, unmagnetized plasma consisting ofwarm ions, hot isothermal electrons, and relativistic electron beam is studied. A modified nonlinear Schrodinger equationincluding one additional term that comes from the effect of relativistic electron beam is derived. It is found that theinclusion of a relativistic electron beam would modify the modulational instability of the wave packet and could notadmit any stationary soliton waves.     

Attosecond X-ray pulse obtained from linear Thomson scattering

Linear Thomson scattering by a relativistic electron of a short pulse laser has been investigated by computer simulation. Under a laser field with a pulse of 33.3-fs full-width at half-maximum, and the initial energy of an electron of γ₀=10, the motion of the electron is relativistic and generates an ultrashort radiation of 76-as with a photon wave length of 2.5-nm in the backward scattering. The radiation under a high relativistic energy electron has better characteristic than under a low relativistic energy electron in terms of the pulse width and the angular distribution.     

Supersonic Shock Wave with Landau Quantization in a Relativistic Degenerate Plasma

A three-dimensional(3D)BurgersJ equation adopting perturbative methodology is derived to study the evolution of a shock wave with Landau quantized magnetic field in relativistic quantum plasma.The characteristics of a shock wave in such a plasma under the influence of magnetic quantization,relativistic parameter and degenerate electron density are studied with assistance of steady state solution.The magnetic field has a noteworthy control,especially on the shock wave's amplitude in the lower range of the electron density,whereas the amplitude in the higher range of the electron density reduces remarkably.The rate of increase of shock wave potential is much higher(lower)with a magnetic Held in the lower(higher)range of electron density.With the relativistic factor,the shock wave's amplitude increases significantly and the rate of increase is higher(lower)for lower(higher)electron density.The combined effect of the increase of relativistic factor and the magnetic field on the strength of the shock wave,results in the highest value of the wave potential in the lower range of the degenerate electron density.     

拉曼型自由电子激光器中相对论电子运动稳定性的比较研究

拉曼型自由电子激光器作为一种兆瓦级高功率毫米波、太赫兹波辐射源, 其电子的运动稳定性对整体器件的性能至关重要.本文采用科尔莫戈罗夫熵方法, 以典型的麻省理工学院公布的实验数据为例, 比较研究拉曼型正向导引磁场和反向导引磁场两类自由电子激光器中相对论电子的运动稳定性. 结果表明:摇摆器绝热压缩磁场对电子运动的稳定性无实质性影响, 但对电子运动影响大; 电子束自身场在拉曼型正向导引磁场自由电子激光器中使电子运动稳定性变差, 而在拉曼型反向导引磁场自由电子激光器中则可改善电子运动稳定性. 关键词： 拉曼型自由电子激光器 相对论电子运动稳定性 科尔莫戈罗夫熵 电子束自身场     

电光采样(EOS)法测量超短电子束束团长度中的模拟计算与误差分析

随着高能物理的发展, 高能量正负电子对撞机, X射线自由电子激光器, 先进的同步光源等, 都需要产生高流强超短脉冲的相对论电子束团. 于是, 亚皮秒电子束束团诊断成为加速器物理新发展的关键技术, 电子束长度的监测是其中的一部分. 电光采样(EOS)法测量超短电子束团长度有非侵入、非破坏、实时测量的特点, 具有较好的应用前景. 本文介绍该方法的原理, 通过模拟计算分析电子束束团与探测光间距、电子束电场与电光晶体晶轴夹角、探测光偏振方向与电光晶体晶轴夹角等实验参数与束团长度测量的关系, 做系统误差分析, 对实际实验有指导意义.     

Blackbody Radiation and the Scaling Symmetry of Relativistic Classical Electron Theory with Classical Electromagnetic Zero-Point Radiation

It is pointed out that relativistic classical electron theory with classical electromagnetic zero-point radiation has a scaling symmetry which is suitable for understanding the equilibrium behavior of classical thermal radiation at a spectrum other than the Rayleigh-Jeans spectrum. In relativistic classical electron theory, the masses of the particles are the only scale-giving parameters associated with mechanics while the action-angle variables are scale invariant. The theory thus separates the interaction of the action variables of matter and radiation from the scale-giving parameters. Due to this separation, classical zero-point radiation is invariant under scattering by the charged particles of relativistic classical electron theory. The basic ideas of the matter-radiation interaction are illustrated in a simple relativistic classical electromagnetic example.     

强流相对论电子束双腔纵向自调制研究

当强流相对论电子束在类双腔速调管系统中传输时，会发生自调制现象. 利用这一现象可以 在无微波注入的情况下得到较好的微波输出，这是一种由强流相对论效应引起的自激振荡. 利用这一原理有可能研制出一类新型的微波器件. 对强流相对论电子束在这种物理机制作用 下发生起振的条件及传输机理进行了理论分析，并进行了数值模拟. 优化结果显示，利用4k A, 500kV的强流相对论电子束，可得到099GHz，800MW的微波输出，效率约40％. 关键词： 强流相对论电子束 自调制 反馈机制 数值模拟     

相对论电子束对波的相速的影响

在小信号情况下研究了相对论电子束对加速器微波相速的影响.首次提出了电子束流的介质等效的思想,并建立了等效的相对介电常数的计算公式.同时,建立了考虑小信号下相对论电子束的盘荷波导的简化色散方程.     

新型高功率径向强流速调管振荡器

 提出了一种新结构的高功率径向强流速调管振荡器,该器件利用折叠式同轴谐振腔的微波场与接近空间电荷限制电流的径向电子束强烈相互作用产生高功率微波。首先对这种器件的实现机理进行了初步的分析，提出了有间隙电压情况时的径向同轴间隙的空间电荷限制电流1维近似估计模型。分析表明：对于电子束直流接近但小于直流空间限制电流的径向速调管，当有调制间隙电压时，空间限制电流要小于无调制间隙电压情况下的直流空间限制电流，径向强流电子束电流接近和超过空间电荷限制电流时会出现强烈的调制。然后用PIC程序对其特性进行了粒子模拟，在二极管输入电压500 kV、电子束电流为30 kA条件下，最终得到了峰值功率6 GW、频率1.3 GHz的微波输出。     

自由电子激光放大器频谱振荡现象的研究

本文从单粒子模型出发,导出了考虑相对论能量因子一级扰动量影响的色散方程。结果表明:当入射电子能量足够大时,自由电子激光放大器出现频谱振荡现象,产生这种现象的原因是由于相对论能量因子的扰动作用。文中对此进行了比较详细的讨论。 关键词：     

Inhomogeneous relativistic electron beam interaction with inhomogeneous warm plasma

The interaction of inhomogeneous relativistic electron beam with inhomogeneous bounded warm plasma, which leads to amplification of waves, is analyzed. It is shown that due to the resonant increase in wave’s field with a decrease in the plasma permittivity to zero, the power absorbed by plasma is finite and depends on the plasma thermal velocity. The relativistic electron beam not only amplifies waves in plasma but also provides efficient absorption of these waves by plasma.     

Weakly relativistic and space charge effects in interaction of high-power microwave with plasma

In the present work, numerical studies on the effects of weakly relativistic ponderomotive force and space charge in the nonlinear interaction of a high-power microwave beam with a plasma are carried out. It is shown that, the profiles of the electron density and dielectric permittivity contain high peaks, and modulation of wavelength occurs in electron density distribution by increasing the microwave energy flux. In addition, it is indicated that the profiles of the electric and magnetic fields in relativistic regime are lengthened more than non-relativistic regime by increasing the initial electron density and the relativistic effects cause the increase in oscillation wavelength of electron density, dielectric permittivity and space charge field, in comparison with the non-relativistic regime. Finally, the results of the research show that the steepening in electron density distributions and their oscillation wavelength are enhanced, when the relativistic effects appear.     

锥形激光等离子体中Compton 散射对电子的加速

应用相对论性电子与光子非弹性碰撞模型和经典相对论电动力学理论,结合锥形飞秒强激光等离子体中的光场特性和静电场能,分析、计算了入射的高能电子束与等离子体中的光子发生多光子非线性Compton散射时对电子的加速效应,发现等离子体中的光场会引起电子加速能量的振荡;等离子体中的静电场降低电子的加速效应。用高能电子束与锥形飞秒强激光等离子体中的光子发生双光子非线性Compton散射,是加速电子最为理想的情况。     

A new method of ab initio calculation of the magnetocrystalline anisotropy energy in relativistic ferromagnets

A differential technique of calculating the magnetocrystalline anisotropy energy based on the spin-polarised relativistic calculation of the electron states in a ferromagnet is developed. The formalism of the relativistic version of KKR method is shown to be the most convenient for such calculations.     

Fr原子的激发态结构

应用自洽场理论方法,计算了Fr的里德堡态能级结构。与精确的实验比较,符合良好。还阐明了高Z元素的相对性效应,高Z元素的能级结构计算需采用相对论性理论方法。 关键词：     

UF_6分子价轨道相对论效应的理论电子动量谱学研究

用非相对论、标量相对论和二分量相对论三种不同的密度泛函方法对UF_6分子的电子结构进行了量子化学计算,并利用编写的程序计算出了三种方法下各个价轨道的电子动量谱,比较了三种方法计算的价轨道能级及动量分布的差异.结果表明,相对论效应不仅使UF_6的能级劈裂和移动,而且对部分价轨道电子动量分布有显著的影响.