An Interacting Gauge Field Theoretic Model for Hodge Theory: Basic Canonical Brackets

We derive the basic canonical brackets amongst the creation and annihilation operators for a two （1 ＋ 1）- dimensional （2D） gauge field theoretic model of an interacting Hodge theory where a U（1） gauge field （Aμ） is coupled with the fermionic Dirac fields （ψ and ψ）. In this derivation, we exploit the spin-statistics theorem, normal ordering and the strength of the underlying six infinitesimal continuous symmetries （and the concept of their generators） that are present in the theory. We do not use the definition of the canonical conjugate momenta （corresponding to the basic fields of the theory） anywhere in our whole discussion. Thus, we conjecture that our present approach provides an alternative to the canonical method of quantization for a class of gauge field theories that are physical examples of Hodge theory where the continuous symmetries （and corresponding generators） provide the physical realizations of the de Rham cohomological operators of differential geometry at the algebraic level.     

Theory of noise in a kilo-Hz cascaded high-energy Yb-doped nanosecond pulsed fiber amplifier

A theoretical analysis of noise in a high-power cascaded fiber amplifier is presented. Unlike the noise theory in low power communication, the noise of a high power system is redefined as the leaked output energy between pulses with coherent beat noise uncounted. This definition is more appropriate for high power usage in which the pulse energy receives more attention than the pulse shape integrity. Then the low power pre-amplifying stages are considered as linear amplification and analyzed by linear theory. In the high-power amplification stages, the inversion is assumed to recover linearly in the time interval between pulses. The time shape of the output pulse is different from that of the input signal because of different gains at the front and back ends of the pulse. Then, a criterion is provided to distinguish the nonlinear and linear amplifications based on the signal-to-noise ratio （SNR） analysis. Then, an experiment that shows that the output SNR actually drops off in nonlinear amplification is performed. The change in the noise factor can be well evaluated by pulse shape distortion.     

气冷服近体调温性能的数值分析

为了探讨气冷服的近体调温性能,构建了体表-服装几何模型,采用数值模拟的方法研究了平均皮肤温度、内外温差关于进气速度、进气温度及人体散热率的变化关系。结果表明:体表上半部分温度高于下半部分温度;平均皮肤温度与进气速度成幂函数关系,温差与进气速度成对数函数关系;平均皮肤温度及温差关于进气温度成线性关系,进气温度每降低1℃,则平均皮肤温度降低0.39℃,而温差上升0.41℃;平均皮肤温度关于人体散热率成线性变化,散热率每增大5W/m~2,平均皮肤温度升高0.6℃。     

高超声速可压缩流中粗糙壁热流研究

用计算流体力学（CFD）数值模拟和理论方法对高超声速可压缩湍流中粗糙壁面热增量进行研究. 着重考虑粗糙单元密度和粗糙单元形状对粗糙表面热流的影响. 结果表明： ①粗糙单元密度变化时, CFD数值方法计算所得的粗糙单元等效热流随着粗糙单元密度的降低而增加, 理论方法预测结果的规律随方法不同而不同;②在相同粗糙单元密度和高度时,如果粗糙单元形状改变,CFD计算结果也随之发生改变. 理论预测方法所得结果不发生变化.     

怀念好友学江

我和学江是辅仁大学的同学,他比我低一班．1943年我和这位学习优秀的学弟结成好友．1946年清华复校,他转入清华学习．1947年我回辅仁任助教．我经常来找他,清华大学这个学生运动的圣地对我很有吸引力．1949年,我在天津北洋大学物理系教理论力学课．用的教科书是Jeans著的《理论力学》．这本书的习题难得出名．学江把他的作业借给我．他不仅对难题做了清晰的解答,而且书写非常工整．这给了我极深的印象．1951年,他给了我一份周培源先生的理论力学讲义．我在北洋大学就用周先生的讲义讲课．     

基于局部放电理论的聚合物电介质击穿动力学理论研究

随着电力设备电压等级的提高,对电力设备中聚合物电介质材料的可靠性提出了更加严格的要求,然而由于聚合物电介质材料在生产制造过程中不可避免的存在气泡、杂质等缺陷,导致在高电场作用下会发生局部放电从而大大降低了电力设备的使用寿命.因此,为了预防和减少电力设备中因聚合物电介质材料老化所带来的事故,需要合理地估算其电老化寿命.本文从局部放电老化模型的微观机理出发,利用非平衡态统计理论建立了电裂纹不断扩展的随机微分方程,然后推导出聚合物电介质的击穿概率、可靠性以及电老化寿命与外加电场的函数关系.最后,对聚苯二甲酸乙二醇酯(polyetllyleneterephthalate,PET)薄膜材料进行具体分析,将电老化寿命公式的理论值与实验数据作了比较,发现实验数据与理论值较为相符.因此,本文推导的聚合物电介质电老化寿命公式可以有效地应用在定量分析中,并有望为材料的电寿命预测提供帮助.     

Polarization and Angular Distribution of Ll X-Ray Following Inner-Shell 2p3/2 Photoionization of Magnesium-Like Ions

The inner-shell 2pa/2 photoionization and the subsequent decay of Mg-like Fe^14＋, Cd^36＋, W^62＋ and U^80＋ ions are studied theoretically within the multiconfiguration Dirac-Fock method and the density matrix theory. Special attention is paid to exploring the influence of the non-dipole terms which arise from the multipole expansion of the electron-photon interaction in the photoionization process. The results show that the non-dipole contribution to the total cross section, the magnetic sublevels cross section of the photoionization process, the degree of linear polarization and angular distribution of the subsequent characteristic x-ray radiation become more important with the increase of photons energy and atomic nuclear Z. Especially for the cross section and the degree of linear polarization, the non-dipole contribution arrives at 50% for U^80＋ at four time energy threshold units. However, for the angular distribution, the maximum contribution does not exceed 4%, even for U^80＋ ions.     

随机分布黑碳-硅酸盐混合凝聚粒子的消光特性研究

基于分形理论,采用蒙特卡罗方法对随机分布的混合凝聚粒子的空间结构进行了仿真模拟。利用Bruggeman有效介质理论得到了占有不同体积份额黑碳的内混合凝聚粒子的等效复折射率。采用离散偶极子近似方法对随机分布混合凝聚粒子在内外混合状态下的吸收、散射和消光效率因子等消光特性参量进行了数值计算,深入探讨了混合方式、容积含量、入射波长以及基本粒子粒径和数量对混合凝聚粒子消光特性的影响规律。通过将所得数值结果与T矩阵方法的数值结果进行比较发现,两种数值方法计算的结果非常相近。结果表明,随机分布混合凝聚粒子的散射效率因子对混合方式非常敏感,消光效率因子对混合方式较敏感,而吸收效率因子对混合方式不敏感。随着凝聚粒子尺度参数的增大,混合方式对散射和消光效率因子的影响逐渐显著。内外混合方式下,随着黑碳体积比的增大随机分布混合凝聚粒子的吸收、散射和消光效率因子均近似线性增大,并且增大的幅度随着粒子尺度参数的增大而增大。     

元素周期表中元素单晶基于局域密度理论的正电子寿命计算

在局域密度近似理论（LDA）的基础上用中性原子叠加模型和有限插分方法（SNA-FD）计算了元素周期表中各种元素单晶的正电子体寿命和单空位寿命.分析了不同结构的单晶中自由正电子的分布信息和湮没信息.元素单晶的正电子寿命计算值与文献中的实验测量值相符合,表明LDA基础上的SNA-FD方法可以作为单晶中正电子湮没理论计算的有效研究手段. 关键词： 局域密度近似理论 正电子寿命