On the verge of <Emphasis Type="Italic">Umdeutung</Emphasis> in Minnesota: Van Vleck and the correspondence principle. Part one

In October 1924, The Physical Review, a relatively minor journal at the time, published a remarkable two-part paper by John H. Van Vleck, working in virtual isolation at the University of Minnesota. Using Bohr’s correspondence principle and Einstein’s quantum theory of radiation along with advanced techniques from classical mechanics, Van Vleck showed that quantum formulae for emission, absorption, and dispersion of radiation merge with their classical counterparts in the limit of high quantum numbers. For modern readers Van Vleck’s paper is much easier to follow than the famous paper by Kramers and Heisenberg on dispersion theory, which covers similar terrain and is widely credited to have led directly to Heisenberg’s Umdeutung paper. This makes Van Vleck’s paper extremely valuable for the reconstruction of the genesis of matrix mechanics. It also makes it tempting to ask why Van Vleck did not take the next step and develop matrix mechanics himself. This paper was written as part of a joint project in the history of quantum physics of the Max Planck Institut für Wissenschaftsgeschichte and the Fritz-Haber-Institut in Berlin.     

The Response of Debris-Flow Events to Solar Proton Flares （Ⅰ）

By analyzing the observation data from Dongchuan Debris Flow Observation and Research Station and historical data from year 1965 to 1990 gotten from National Astronomical Ob-servatories/Yunnan Observatory,the responding of debris flow in Jiangjia Ravine to Solar Proton Flare is studied. The following conclusion can be drawn. Solar Proton Flare,as one of most im-portant astronomical factors,affects the activity of debris flow in Yunnan. Generally,from 1965 to1990,the more active Solar Pro-ton Flare is,the greater the probability of high frequency and large runoff of debris flow is. On the contrary,the less active Solar Pro-ton Flare is,the greater the probability of low frequency,small runoff,and low sediment transport of debris flow is.     

Bang bang control of unified chaotic system

The unified chaotic system contains the Lorenz system and the Chen system as two dual systems at the two extremes of its parameter spectrum. This paper presents the design of bang bang controller for unified system and multitude of numerical experiments under various control parameters. Numerical experiments meet the theoretic proof perfectly and convincingly demonstrated the controller can be effectively used for unified systems with uncertainty of the equilibrium points. The method enriches the applications of chaotic control. Foundation item: Supported by the National Natural Science Foundation of China(50209012) Biography: Deng Xiao-ming (1980-), male, Master candidate, research direction: chaos control.     

Environmental Issues of Geothermal Development in Yangbajing, Tibet and the Countermeasures

The pollution source and pollution state of surface water is respectively assessed with equal-standard-pollution-load index and Nemero index, and the habitans' health is assessed as well by comparison with pre-development of geothermal field. Results show that: 1 ) Three pollutive factors obviously fail to attain the required standards and their order sorted by impact degree is As＞F- ＞S2-. 2) The Nemero index of Donggua cross section of Duilongqu River is 0. 725and the water quality is at mildly-polluted level. 3) In Lhasa River, the Nemero indexes of cross sections affected by geothermal fields are much higher than that of the unaffected one, which shows the present and potential impacts of geothermal development. 4) Much more inhabitants nearby got trichomadesis sickness after geothermal development, which shows that the surface water pollution in this area has threatened the inhabitants' health. In addition, other environmental issues caused by Yangbajing geothermal development are analyzed and some countermeasures are proposed.     

背越式跳高教学中应用多媒体技术的实践与探讨

在背越式跳高教学中实行多媒体组合教学 ,改进传统单一的教学方式 ,加深了学生对技术本质特征的理解 ,经教学实验对比 ,教学效果明显提高 .并具体分析探讨了开展多媒体教学的优越性和重要性     

变速齿轮传动系统最佳轴向结构布局智能设计的推理机制

本文通过对变速齿轮传动系统轴向结构布局设计规律的研究,提出了一种适合于该类问题的知识表达方式,将改进后的带有启发函数的最佳优先搜索方法引入到该问题的求解中,使得含有多重搜索空间以及带有一定约束的设计问题统一在同一搜索策略下。根据本文提出的方法,用PROLOG语言建造的推理机,通过对实际问题的考证,证明该方法在解决传动结构自动设计上是行之有效的,并且在推理机制上成功地体现了设计过程中反复设计与优化设计的功能特征.     

福建省蜻蜓幼虫分属检索(蜻蜓目)

本文为福建省蜻蜒差翅亚目6科54属及均翅亚目11科28属提供幼虫分属检索表,附有特征详图,可供检索时参阅.     

浅议中学数学的高观点研究

本文从培养合格的中学数学技师的角度,论述了运用高观点研究初等数学的重要性,提出了此项研究的内容、途径和方法。     

关于Euler数的一些恒等式

将欧拉数的形如的累加和的递推关系式更具体。     

L－Fuzzy极不连通空间

给出了ＬＦ极不连通空间的具有层次特点的新定义，从而使连通性与极不连通性两个概念更为协调；证明了此定义是“Ｌ－好的推广”。