The momentum conservation law in special relativity

The derivation of the functional form of the relativistic momentum of a particle has a history going back to Lewis and Tolman's paper of 1909, yet satisfactory presentations seem to be few in number. Careful examination of the several types of derivation shows that their shortcomings are avoidable and allows the presentation of exact and improved analyses.     

光束正入射至界面时的自旋-轨道相互作用及其增强

光束正入射至均匀突变界面时的自旋-轨道相互作用表现为拓扑荷数为±2的、自旋可控的涡旋相位.然而,该涡旋相位的物理来源以及界面的性质在自旋-轨道相互作用过程中起到何种作用,这些问题还有待解决.首先建立一个简洁的菲涅耳琼斯矩阵来描述这种自旋-轨道相互作用,并揭示其中的涡旋相位其实是一种贝里(Berry)几何相位,它来源于光束本身的拓扑结构,而界面的性质影响自旋-轨道相互作用的转换效率.一般情况下,转换效率极低,限制了其应用.因此,基于上述理论,提出采用光轴平行于界面法线方向的单轴薄层材料,来极大地增强这种自旋-轨道相互作用.     

Rotating dust clouds in general relativity

We present an exact solution of Einstein’s equations representing interpenetrating clouds of rotating dust. The solution is a member of the van Stockum class; it contains singularities at the centres of the clouds. These are sources of the angular momentum which is displayed by the metric at infinity. It is not clear whether the rotating dust contributes to the angular momentum. In the case of two clouds there is a conical singularity between the central ones. For three clouds the conical singularity may be absent.     

Transverse momentum and transverse mass distributions of charged hadrons produced in Au--Au collisions at high energies

The transverse momentum distribution and the transverse mass distribution of charged hadrons produced in nucleus nucleus collisions at high energies are described by using a two-cylinder model. The results calculated by the model are compared and found to be in agreement with the experimental data of the STAR and E895 Collaborations, measured in A~Au collisions at the relativistic heavy ion collider （RHIC） and alternating-gradient synchrotron （AGS） energies, respectively. In the energy range concerned, the excitation degree of emission source close to the central axis of cylinders increases obviously with the collision centrality and incident energy increasing, but it does not show any obvious change with the increase of the （pseudo）rapidity in central collisions. The excitation degree of emission source close to the side-surface of cylinders does not show any obvious change with the collision centrality, the （pseudo）rapidity, and the incident energy increasing.     

Photon wave function formalism for analysis of Mach–Zehnder interferometer and sum-frequency generation

Biakynicki-Birula introduced a photon wave function similar to the matter wave function that satisfies the Schrödinger equation. Its second quantization form can be applied to investigate nonlinear optics at nearly full quantum level. In this paper, we applied the photon wave function formalism to analyze both linear optical processes in the well-known Mach–Zehnder interferometer and nonlinear optical processes for sum-frequency generation in dispersive and lossless medium. Results by photon wave function formalism agree with the well-established Maxwell treatments and existing experimental verifications.     

聚焦光场俘获微球的FDTD分析

基于动量守恒原理,采用2维时域有限差分方法(2D FDTD)建立了激光场对微米量级微球的作用力模型,讨论了入射高斯光场的波长、束腰半径、微球的折射率和半径等对聚焦光场俘获力的影响.结果表明：位于聚焦光场中特定位置的微球可被俘获,当离轴距离增加,俘获力减小.微球所受到的俘获力与微球的折射率有关,当小于环境折射率时(如汽泡),不能形成俘获,而被推离光场.模拟结果与其他文献中报道的实验结果一致. 关键词： 光镊 俘获力 时域差分有限方法(FDTD) 动量守恒     

Infrared emission from surfaces under low-energy electron impact

The infrared photon emission from metal surfaces stimulated by the impact of low-energy electrons of kinetic energies between 0–10 eV has been measured. The results are presented as isochromat spectra from clean Ag and Na surfaces under different temperatures. Some IR emission features have been associated tentatively with inverse photoemission processes.     

偶偶Ge和Se同位素核的形变HF态及负宇称带研究

将具有负宇称的fp轨道空间扩大到包含具有正宇称的1g_9/2轨道,采用修正的表面δ相互作用,对⁶⁴Ge,⁶⁶Ge,⁶⁸Ge,⁷⁰Se,⁷²Se和⁷⁴Se等6个偶偶核做了形变HF计算.得到了基态和一些激发态的解.同时,还用近似角动量投影形变Hartree-Fock(PDHF)方法,对⁶⁴Ge和⁷⁴Se进行了能谱计算,得到其正、负宇称带的解,计算结果与实验谱基本一致.     

Gauge invariance and quantization applied to atom and nucleon internal structure

The prevailing theoretical quark and gluon momentum, orbital angular momentum and spin operators, satisfy either gauge invariance or the corresponding canonical commutation relation, but one never has these operators which satisfy both except the quark spin. The conflicts between gauge invariance and the canonical quantization requirement of these operators are discussed. A new set of quark and gluon momentum, orbital angular momentum and spin operators, which satisfy both gauge invariance and canonical momentum and angular momentum commutation relation, are proposed. To achieve such a proper decomposition the key point is to separate the gauge field into the pure gauge and the gauge covariant parts. The same conflicts also exist in QED and quantum mechanics, and have been solved in the same manner. The impacts of this new decomposition to the nucleon internal structure are discussed.     

Event-by-event fluctuations of mean transverse momentum in AuAu collisions in STAR experiment at relativistic heavy-ion collider

We report results on event-by-event fluctuations in mean transverse momentum in AuAu collisions at GeV measured by the STAR experiment at RHIC. The dynamical fluctuations, is found to be about 1.2 ±02% of the mean transverse momentum for particles in pseudo-rapidity range of −0.5 < η < 0.5 and for the top 6% central collisions.