相对论

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

It reviews the physics development before the birth of special relativity at the beginning of 20th century, and gives the important reasons why many famous physicists, such as Hendrik Antoon Lorentz, Henri Poincaré, failed to create a new theory, though they had already obtained some very important results, almost close to this great theory.

对20世纪初相对论诞生之前的物理学发展进行了回顾，分析了在1905年爱因斯坦发表著名的狭义相对论之前，物理学家如洛伦兹、庞加莱等人尽管已经走到了狭义相对论的边缘，得到了狭义相对论的一些结论，但最终却没能创建一个全新的物理学理论体系的深刻内因。

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。

When the object motions are observed in different inertial frames, their conclusions of time dilation can be opposite; it indicates that, the experimental result of time dilation is different obviously from special relativity, and can not look upon the equivalent to the latter and testify its correctness.

从不同的参考系观察，它们的结论是可以相反的；因此，时间膨胀的实验结果与相对论是明显不同的，不应与相对论的时间膨胀效应等同起来，也不能用来证明狭义相对论的正确性。

By using of the theory and simulation methods above, the inject cavity, buncher cavity and output cavity are analysed separably. With An annual electron beam of voltage 500kV, and current 3kA, average output microwave power 455MW and peak power 1.3GM is observed, bandwidth is 60MHz, the efficiency is 30.3%, the gain is about 36.8dB.and the frequency is 2.85GHz, The amplitude and phase of output microwave is stable.

最后运用上面所得出的一系列理论及模拟方法，分别对相对论速调管的注入腔、聚束腔和输出腔的工作特性进行了详细的分析和优化设计，我们采用3kA和500kV的环形强流相对论电子束，最后得到了工作频率为2.85GHz、饱和增益为36.8dB、效率为30.3％、带宽大约60MHz、平均功率为455MW，峰值功率可达1.3GW的微波输出的相对论速调管，输出微波的幅值平稳，相位稳定。

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。

On the basis of the concept of perfect quantum gas, a physical model of extreme relativity is established for perfect quantum gas, and also according to the conclusions of the state density of the extreme theory of relativity, the densities of quantum statistics′ particle numbers and energy, the extreme relativity′s result of the enthalpy、internal energy and heat capacity of the perfect quantum gas is obtained under the high temperature by strict theory inference.

在理想量子气体概念的基础上，首先建立极端相对论理想量子气体的物理模型；再根据极端相对论的态密度和量子统计的粒子数、能量的密度结论，通过严格的理论推导，得出理想量子气体在高温条件下的极端相对论性的焓、内能和热容量的结果，并将其热容量与高温条件下的理想量子气体、经典理想气体的热容量对比，指出极端相对论与非相对论两种模型、理想量子气体与经典理想气体两种模型的热容量之间的差异，同时分析这些差异的物理原因在于各自气体模型的态密度以及对应体系的波函数的对称性；最后阐明高温条件下极端相对论理想量子气体的热容量在量子统计方面的先进性及应用前景。

Finally it clarifies the advance in quantum statistics and the practical prospect of heat capacity of the extreme relativity's perfect quantum gas under high tamperature.

摘 要：在理想量子气体概念的基础上，首先建立极端相对论理想量子气体的物理模型；再根据极端相对论的态密度和量子统计的粒子数、能量的密度结论，通过严格的理论推导，得出理想量子气体在高温条件下的极端相对论性的焓、内能和热容量的结果，并将其热容量与高温条件下的理想量子气体、经典理想气体的热容量对比，指出极端相对论与非相对论两种模型、理想量子气体与经典理想气体两种模型的热容量之间的差异，同时分析这些差异的物理原因在于各自气体模型的态密度以及对应体系的波函数的对称性；最后阐明高温条件下极端相对论理想量子气体的热容量在量子统计方面的先进性及应用前景。

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