From sum rules to RPA: 2. 3He droplets

We investigate the excitation spectra of closed-shell ³He droplets using a flexible formulation of the RPA which has been presented in preceeding papers. The calculations are based on an energy functional which thorougly employs finite-range interactions. We compare the results for different stages in a hierarchy of approximations to the full RPA. We furthermore discuss the consequences of taking the zero-range limit of the present energy functional, i.e. of using Skyrme-type interactions.     

3，5－二溴－4－氨基苯基荧光酮的离解及与钼显色反应的研究

用分光光度法研究了２，３，７－三羟基－９－（３，５－二溴－４－氨基）苯基荧光酮的离解平衡和离解常数；以其为显色剂，进行了钼（ＶＩ）的分光光度法研究，在０．２～０．８ｍｏｌ·Ｌ－１ＨＣｌ溶液中，ＣＴＭＡＢ存在下，显色剂与Ｍｏ（ＶＩ）生成灵敏的红色三元配合物，ε５３０＝１．５６×１０５Ｌ·ｍｏｌ－１·ｃｍ－１，用于测定钢中的钼，结果满意．     

答YapH.P.和TeoS.K.问题

本文证得：如果Ｆ是Ｃｎ中的一条种路，则Ｇ中同时通过ｋ余弦ｅ１，ｅ２，．．．，ｅｋ而不通过Ｆ中的任一条边的圈最多只有一个且Ｇ中同时通过ｋ条弦ｅ１，ｅ２，．．．，ｅｋ的圈最多只有２个，进而由之给出了Ｍ（ｋ）的上界和ｍ（ｋ）的下界及ｍ（ｋ）＝（ｋ＋１）（ｋ＋２）／２成立的一个条件，否定地回答了ＹａｐＨ．Ｐ．和ＴｅｏＳ．Ｋ．１９８４年提出的一个问题。     

Amplification of spontaneous emission in Nd~(3 )-doped fiber pumped by Ti: Al_2O_3 tunable laser

Amplification of spontaneous emission(ASE) in 4m Nd~(3 )-doped fiber pumped by Ti : Al~2O_3 tunable laser is studied theoretically and experimentally. The output of 2.64mW from ASE source pumped at 833 nm is obtained and the experimental results of ASE source are compared with that of Nd~(3 )-doped fiber ring laser.     

Structure and properties of laser quenched 4Cr13 steel

The structure and properties of laser quenched 4Cr13 steel were reported. The results show that: (1) Fine martensite is obtained after laser quenching. The highest content of retained austenite in the surface area 10 μm thick of laser hardened zone is 47. 13 percent, but only 3.6 percent of retained austenite is measured inside the laser hardened layer after the surface layer 10μm thick is worn off. (2) The hardness of laser quenched layer is much higher (HV_(0.1) 690) than that of the substrate (HV_(0.1) 237). (3) The wear resistance of laser quenched layer is 3.3 times higher than that of traditionally treated specimen and the corrosion resistance of 4Cr13 steel is also improved greatly by laser quenching.     

O(N) vector model with twisted boundary conditions

Prompted by a recent article of Chakravarty, we reexamine theO(N) vector model with twisted boundary conditions ind dimensions in the various frameworks of the =d–2 expansion, the =4–d expansion, and the large-N expansion. These continuum models describe the physics below the critical temperatureT _c and nearT _c of a latticeO(N) spin model. We determine the effect of the twisting on finite-size scaling functions, for various geometries.On leave from G. Nadjakov Institute of Solid State Physics, 1784 Sofia, Bulgaria.     

掺镱氟锆酸盐玻璃光纤反斯托克斯荧光制冷初探

用高纯原料制备了掺镱1％,2％,3％mol的氟锆酸盐玻璃,并研制了有芯皮料的氟锆酸盐光纤预制棒,拉制了光纤,并对它们的吸收谱进行了研究,初步探索了它们反斯托克斯荧光制冷机理。     

2-羟基-5-磺酸基苯基重氮氨基偶氮苯分光光度法测定痕量汞(Ⅱ)

研究了 2 羟基 5 磺酸基苯基重氮氨基偶氮苯 (HSDAA)与汞 (Ⅱ )的显色反应。在TritonX 10 0存在下 ,于pH 10 30的硼砂 氢氧化钠缓冲溶液中 ,汞 (Ⅱ )与试剂形成 1∶2的稳定橙红色配合物 ,其最大吸收波长位于 5 19nm处 ,表观摩尔吸光系数为 1 6 7× 10 5L·mol- 1 ·cm- 1 。汞 (Ⅱ )在 0～ 6 0 0 μg·L- 1 之间符合朗伯 比尔定律。该法直接应用于水样中痕量汞的测定。     

Integrable Hamiltonian systems related to the Hilbert–Schmidt ideal

By the application of the coinduction method as well as the Magri method to the ideal of real Hilbert–Schmidt operators we construct the hierarchies of integrable Hamiltonian systems on Banach Lie–Poisson spaces which consist of such types of operators. We also discuss their algebraic and analytic properties and solve them in dimensions, N=2,3,4$N=2,3,4$.