相对论的

Based on the tensor expression for the Breit-Pauli Hamiltonian,and with the aid of irreducible tensor theory,the theory of relativistic corrections to the non-relativistic energies of many-electron atoms has been generalized to the case in which Racah wave functions are the linear combinations of multi-Slater wave functions,analytic formulism for calculating the relativistic corrections,which include mass correction,one-and two-body Darwin correction and spin-spin contact interaction,has been derived,all th...

以Breit-Pauli哈密顿的球张量形式为基础，借助不可约张量理论，将多电子原子能量的相对论修正理论拓展到了原子的拉卡波函数为多个Slater基函数的线性组合的情形，导出了此情形下多电子原子能量相对论修正(包括相对论质量修正项、单体和双体达尔文修正项、自旋-自旋接触相互作用项)的解析表达式，完成了所有角向积分和自旋求和计算。

Based on the tensor expression for the Breit-Pauli Hamiltonian,and with the aid of irreducible tensor theory,the theory of relativistic corrections to the non-relativistic energies of many-electron atoms has been generalized to the case in which Racah wave functions are the linear combinations of multi-Slater wave functions,analytic formulism for calculating the relativistic corrections,which include mass correction,one-and two-body Darwin correction and spin-spin contact interaction,has been derived,all the angular interactions and spin sums involved in the problem have been worked out explicitly by using irreducible theory.

以Breit-Pauli哈密顿的球张量形式为基础，借助不可约张量理论，将多电子原子能量的相对论修正理论拓展到了原子的拉卡波函数为多个Slater基函数的线性组合的情形，导出了此情形下多电子原子能量相对论修正(包括相对论质量修正项、单体和双体达尔文修正项、自旋-自旋接触相互作用项)的解析表达式，完成了所有角向积分和自旋求和计算。

A relativistic transformation of generalized coordinates is discussed and it is found that the first law of thermodynamics and the equation of state of an ideal gas are invariant with respect to the relativistic transformation of generalized coordinates , so that the existence of relativistic transformation of generalized coordinates is reasonable.

讨论了一个涉及热力学的广义坐标的相对论变换，发现热力学第一定律和理想气体状态方程对广义坐标的相对论变换具有不变性，表明广义坐标的相对论变换有其存在的理由

According to special relativity mass-energy relation E = mc2 (where E particles with the energy, m the particle mass, c is the speed of light) we can see the energy E and quality of material m can not be divided.

根据狭义相对论的质能关系E＝mc2（此处E粒子所具有的能量，m为粒子的质量、c为光速）可知物质的能量E与质量m是不可分的。

For the first time, we study the radio afterglow behavior during the trans-relativistic phase of the fireball shock wave. Considering the trans-relativistic shock dynamic and the synchrotron self-absorption effect of the relativistic electrons on the radio emission, we find that the dense medium model can not only explain the fast decline of the X-ray and optical afterglows of GRB980519, but also account for its radio afterglow quite well.

我们首次研究了致密介质情形下射电余辉在跨相对论阶段的行为，发现考虑到激波的跨相对论动力学和相对论电子的同步自吸收效应对射电辐射的影响，致密介质模型既可以解释GRB980519的快速衰减的X射线和光学余辉，也可以很好地解释其射电余辉的特点。

However, in two reference frames the experimental results of time dilation are assured and exclusive, but the time dilation results of the special relativity are relative strictly.

但是，在两个参考系中，时间膨胀实验的结果是确定的和唯一的，而狭义相对论的时间膨胀关系是相对的。

In this paper, by discussing the basic hypotheses about the continuous orbit and discrete orbit in two research directions of the background medium theory for celestial body motion, the concrete equation forms and their summary of the theoretic frame of celestial body motion are introduced. Future more, by discussing the general form of Binet's equation of celestial body motion orbit and it's solution of the advance of the perihelion of planets, the relations and differences between the continuous orbit theory and Newton's gravitation theory and Einstein's general relativity are given. And by discussing the fractional-dimension expanded equation for the celestial body motion orbits, the concrete equations and the prophesy data of discrete orbit or stable orbits of celestial bodies which included the planets in the Solar system, satellites in the Uranian system, satellites in the Earth system and satellites obtaining the Moon obtaining from discrete orbit theory are given too.

摘 要：通过讨论天体运行背景介质理论的连续轨道及离散轨道这二个研究方向的基础假设，介绍了天体运行轨道的具体方程形式及理论框架概要；进一步地通过讨论天体运行轨道 Binet 方程的一般形式及其行星近日点进动角的解，给出了连续轨道理论与 Newton 理论及 Einstein 广义相对论的联系与区别；通过讨论天体运行轨道的分维扩展方程，给出了包括太阳系行星、天王星卫星、地球卫星、绕月航天器等在内的离散轨道方程及其预言数据。

He also empathized with Mozart's ability to continue to compose magnificent music even in very difficult and impoverished conditions. In 1905, the year he discovered relativity, Einstein was living in a cramped apartment and dealing with a difficult marriage and money troubles.

爱因斯坦很认同莫扎特即使在非常困难或穷困潦倒的情况依然可以继续创作的能力。1905年，即他提出相对论的那年，爱因斯坦住在一间狭窄不堪的公寓里，忙着应付难以为继的婚姻和财产所带来的诸多问题。

The results show that:(1) The space-charge fields(include dc space-charge fields and ac space-charge fields) have important effect on the beam-wave interaction output power, make the saturated output power lower, saturated position delay;(2) The back-radio excited by the electron beam has little effect on the output power, and can be ignored;(3) The transverse motions of electron beam has some effect of the output power;(4) The means of phase velocity taped and bunch compression can improve the relativistic TWT efficiency, especially bunch compression can greatly improve the efficiency.

五、分析了相对论行波管三维非线性特性，分析结果表明：(1)空间电荷场（包含直流和交流空间电荷场）对注波互作用输出功率影响很大，会造成饱和输出功率减小，饱和位置推后；(2)电子注激发的反向辐射对输出功率影响比较小，基本上可以忽略不计；(3)电子注横向运行对注波互作用的直接影响比较大；(4)通过改变耦合腔内半径来调节慢波结构相速，采用相速跳变和预群聚的方法可以改善相对论行波管的效率，特别是采用预群聚方法，可以尽量提高相对论行波管的效率。

First, we deduce a formula for vacuum polarization pressure as f ＝ G m M （ r ∕ r ＋ v ∕ c ）∕ r 2 , based on the isotropy of distribution of neutrinos ν0 in the lowest energy state in the physical vacuum, requested by the Pauli exclusion principle. Then, we deduced the metric equation of the general relativity and the equivalence principle according to this formula. Further, we demonstrate that this vacuum polarization pressure is the gravitation in general meaning.

首先从泡利不相容原理要求的在物理真空中最低能态中微子ν0分布的均匀各向同性出发，推导出真空极化压力公式 f ＝ G m M （ r ∕ r ＋ v ∕ c ）∕ r 2 ，然后由此公式推导出广义相对论的度规方程和等效原理，并论证此弱作用力的真空极化压力就是通常意义下的引力。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失