洛仑兹变换公式的一个推广

将通常的洛仑兹坐标变换公式和速度变换公式推广到了一个更一般的情况。     

洛伦兹光束经光阑失调傍轴光学系统的传输

基于广义衍射积分公式和光阑函数的复高斯展开,导出了一洛伦兹光束经一个带圆形光阑失调傍轴光学系统的近似解析传输公式.作为一般公式的特例,还给出了洛伦兹光束经一无光阑失调傍轴光学系统的解析传输式.作为数值计算的例子,运用所得到的公式分析了洛伦兹光束经带光阑失调薄透镜的传输特性.结果表明：不同强度的衍射即圆形光阑半径的大小明显影响衍射光束的归一化强度分布及其传输变化规律. 关键词： 洛伦兹光束 失调傍轴光学系统 光束传输     

Information under Lorentz Transformation

In the context of quantum information, we investigate extensively some important classes of a general form of a two-qubit system under Lorentz transformation. It is shown Lorentz transformation causes a decay of entanglement and consequently information loses. On the other hand, it generates entangled states between systems prepared initially in a separable states. The partial entangled states are more robust under Lorentz transformation than maximally entangled states. Therefore the rate of information lose is larger for maximum entangled states compared with that for partially entangled states.     

狭义相对论中没有“矛盾方程”

根据洛伦兹变换把两个惯性系的坐标原点的时空坐标从一个坐标系变换到另一坐标系,从相对运动的角度说明洛伦兹变换是自洽的,运动物体上发生的自然过程比起静止物体的过程延缓了,并且两个坐标系中的观察者都认为对方的时钟变慢,是“动钟变慢”而非“动钟变快”,不会导致“矛盾方程”,不能混淆同一事件的变换规律与两个事件的变换结果．     

磁单极与磁洛伦兹力

概述了磁单极概念的历史发展,从洛伦兹变换出发,利用电磁场张量和四维力的协变性以及电荷相对论不变,直接证明了运动磁单极受磁洛伦兹力,建议了一个磁洛伦兹力的验证方案,并用磁洛伦兹力公式导出狄拉克电荷量子化条件．证明了磁洛伦兹力公式具有与库仑定律相同的精确度．     

Thomas rotation and the parametrization of the Lorentz transformation group

Two successive pure Lorentz transformations are equivalent to a pure Lorentz transformation preceded by a 3×3 space rotation, called a Thomas rotation. When applied to the gyration of the rotation axis of a spinning mass, Thomas rotation gives rise to the well-knownThomas precession. A 3×3 parametric, unimodular, orthogonal matrix that represents the Thomas rotation is presented and studied. This matrix representation enables the Lorentz transformation group to be parametrized by two physical observables: the (3-dimensional) relative velocity and orientation between inertial frames. The resulting parametrization of the Lorentz group, in turn, enables the composition of successive Lorentz transformations to be given by parameter composition. This composition is continuously deformed into a corresponding, well-known Galilean transformation composition by letting the speed of light approach infinity. Finally, as an application the Lorentz transformation with given orientation parameter is uniquely expressed in terms of an initial and a final time-like 4-vector.     

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根据狭义相对性原理,应用Lorentz变换法则,从相对运动媒质静止参考系中的有关结论,获取了实验室参考系中所需结果。通过证明平面波相位是Lorentz不变量,指出实验室参考系中平面波解的存在性。由Lorentz变换导出了实验室参考系中平面波色散关系表示式,据此给出运动媒质的波动方程。由Lorentz变换导出运动媒质中平面波Maxwell方程。基于这些结果,应用Lorentz变换获得了平面波从自由空间垂直入射到各向同性运动等离子体半空间时反射波与透射波的有关特性。     

关于狭义相对论中"洛仑兹变换导出"的讲法的沿革

洛仑兹变换是狭义相对论中的一个关键问题，本文旨在对各种讲法作比较，从而求得对此问题有较全面深入的认识。     

在洛伦兹变换下磁单极的电磁规律

从磁库仑定律出发，用洛伦兹变换导出磁单极的电磁场及其散度，旋度公式和磁单极在电磁场中的受力公式；给出它们的相对论协变形式；最后对讨论推广的麦克斯韦方程组。     

洛伦兹力可看作静止电荷所受电场力的相对论效应——兼论洛伦兹力公式具有与库仑定律相同的精确度

从洛伦兹变换出发,利用电磁场张量和四维力的协变性及电荷相对论不变,直接证明:在一个惯性参考系内的静止电荷所受电场力,转换到另一个惯性参考系就是运动电荷受的洛伦兹力.证明洛伦兹力公式具有与库仑定律相同的精确度.     

A modified Lorentz theory as a test theory of special relativity

A modified Lorentz theory (MLT) based on the generalized Galilean transformation has recently received attention. In the framework of MLT, some explicit formulas dealing with the one-way velocity of light, slow-clock transport and the Doppler effect are derived in this paper. Several typical experiments are analyzed on this basis. The results show that the empirical equivalence between MLT and special relativity is still maintained to second order terms. We confirm recent findings of other works that predict the MLT might be distinguished from special relativity at the third order by Doppler centrifuge experiments capable of a fractional frequency detection threshold of 10^–15.     

Clifford代数中的双曲相位变换群及其在四维相对论时空中的应用

将Clifford代数所定义的双曲复空间R_H和作用在双曲复空间R_H上的双曲相位变换群U₄(H)赋予了明确的物理意义. 双曲复空间R_H同构于四维Minkowski时空，而其上的双曲相位变换群U₄(H)就是四维相对论时空中的洛仑兹(Lorentz)变换群. 进一步，利用U₄(H)群的复合变换性质，自然导出了四维Minkowski时空中Lorentz变换和速度变换的一般表达式. 由此，将狭义相对论中的特殊Lorentz变换作为特例包含其中. 关键词： 双曲复数 双曲相位变换 Minkowski时空 Clifford代数     

Torsion balance experiments: A low-energy frontier of particle physics

We review recent mechanical experiments that test some of the most basic principles of physics including the weak and strong forms of the Equivalence Principle, the gravitational inverse-square law, and Lorentz invariance. The very high sensitivity of these tests allows one to place interesting constraints on string-theory inspired conjectures about new Yukawa forces from the exchange of very light scalar, pseudoscalar or vector particles, large extra dimensions, the chameleon mechanism, non-commutative spacetime geometry, and Planck-scale Lorentz violation.     

洛伦兹速度变换的一种直接推导方法

用光速不变原理直接导出洛伦兹速度变换式，并证明相对论性速度构成双曲几何的Beltrami-Klein模型。     

谈狭义相对论时空理论教学——大学物理课程讲授狭义相对论之我见

依据狭义相对论基本原理和物理事例,导出钟慢、尺缩效应和同时相对性,再以此为据导出洛伦兹变换.     

Nonparaxial Lorentz and Lorentz-Gauss beams

The Lorentz and Lorentz-Gauss beams are extended to the nonparaxial regime. Analytical propagation expressions of nonparaxial Lorentz and Lorentz-Gauss beams in free space are derived, and the propagation of paraxial Lorentz and Lorentz-Gauss beams is treated as a special case of our general results. The propagation properties of Lorentz and Lorentz-Gauss beams are illustrated and compared with numerical examples.     

Lorentz Transformation from Symmetry of Reference Principle

The Lorentz Transformation is traditionally derived requiring the Principle of Relativity and light-speed universality. While the latter can be relaxed, the Principle of Relativity is seen as core to the transformation. The present letter relaxes both statements to the weaker, Symmetry of Reference Principle. Thus the resulting Lorentz transformation and its consequences (time dilatation, length contraction) are, in turn, effects of how we manage space and time.     

由爱因斯坦狭义相对论的基本原理导出洛仑兹变换的一种方法

本文从教学角度讨论了由狭义相对论的两条基本假设严格导出洛仑兹变换的问题，同时指出了某些流行的教材中处理这一内容时的不妥之处，并给出了解决方案．     

Euclidean Special Relativity

New four coordinates are introduced which are related to the usual space-time coordinates. For these coordinates, the Euclidean four-dimensional length squared is equal to the interval squared of the Minkowski space. The Lorentz transformation, for the new coordinates, becomes an SO(4) rotation. New scalars (invariants) are derived. A second approach to the Lorentz transformation is presented. A mixed space is generated by interchanging the notion of time and proper time in inertial frames. Within this approach the Lorentz transformation is a 4-dimensional rotation in an Euclidean space, leading to new possibilities and applications.     

关于洛伦兹变换的推导

介绍了从时空的一些普遍性质出发而推导洛伦兹变换的几种有代表性的方法，特别阐明了每种方法的推导依据（包括隐含的依据），并对这些依据所对应的物理意义进行了讨论。