Theory of Atom Optics: Feynman''s Path Integral Approach

The present theory of atom optics is established mainly on the Schr?dinger equations or the matrix mechanics equation. The authors present a new theoretical formulation of atom optics: Feynman’s path integral theory. Its advantage is that one can describe the diffraction and interference of atoms passing through slits (or grating), apertures, and standing wave laser field in Earth’s gravitational field by using a type of wave function and calculation is simple. For this reason, we derive the wave functions of particles in the following configurations: single slit (and slit with the van der Waals interaction), double slit, N slit, rectangular aperture, circular aperture, the Mach-Zehnder-type interferometer, the interferometer with the Raman beams, the Sagnac effect, the Aharonov-Casher effect, the Kapitza-Dirac diffraction effect, and the Aharonov-Bohm effect. The authors give a wave function of the state of particles on the screen in abovementioned configurations. Our formulas show good agreement with present experimental measurements.     

m-Uniformization and metrization of fuzzy topological spaces

In this paper the fuzzy pseudo metric is introduced in the fuzzy unit interval and based on it theorems on m-uniformization and metrization of fuzzy topological spaces are proved.     

短穗柽柳花内蜜腺的解剖学研究

短穗柽柳的花内蜜腺位于花冠基部与子房之间的花盘上,属于花盘蜜腺。蜜腺组织由分泌表皮、产蜜组织以及维管束三部分组成。分泌表皮具有较厚的角质层,但其上没有气孔器分布,产蜜组织在蜜腺发育过程中,其液泡和淀粉粒随蜜腺的发育有一定的消长规律。来自花托的维管束一直通入产蜜组织内。维管组织中只有韧皮部,原蜜汁可能由韧皮部提供。     

轴压钢柱局部稳定的样条函数分析法

本文采用三次混合样条构造钢柱截面板件横向位移场,假定板件平面外位移沿杆件纵向分布为解析三角函数,导出了轴压钢柱弹塑性局部稳定分析的样条函数法。分析时可计入初挠度,残余应力等初始缺陷,可精确考虑板件间相互约束作用。计算表明:本文方法精度高、速度快。     

增长曲线模型中最小二乘估计的几种相对效率

对于一般的增长曲线模型Yn×m=Xn×pBp×qZq×m＋ε,ε~（0,δV∑）本文定义了B的最小二乘估计（相对于B的最佳线性无偏估计）的四种相对效率，并得到了它们的下界．     

Blocking analysis andT(1) theorem

TheT(1) theorem with a weak condition on the distribution kernel is proved by using a new method—blocking analysis. It improves a result of Meyer’s. Project supported by the National Natural Science Foundation of China (Grant No. 19631080) and the Foundation of Advanced Research Center, Zhongshan University.     

实际光栅系统的分辨本领

本文指出了传统的光栅分辨本领Ｒ＝ｋＮ只是在光源狭缝无限细的情况下的极限值。当光源狭缝还有一定宽度Ｗ时，衍射条纹将增宽，相应最小分辨角Δθｋ将增大，实际光栅系统的分辨本领将减小。文章运用衍射理论，给出了实际光栅系统分辨本领的修正公式。在实验中，在不同光栅宽度Ｄ的情况下，用ｋ＝１级衍射条纹，当测量恰能分辨钠黄光的双线结构的光源缝宽Ｗ时，这时光栅系统的分辨本领是λ／δλ≈１０００，与修正公式计算的理论值一致。     

Synthesis and structure of a mixed ligand complex of tris(1-phenyl-3-methyl-4-trifluoroacetyl-pyrazolone-5)bis(dimethyl sulfoxide) neodymium

A mixed ligand complex of l-phenyl-3-methyl-4-trifluoroacetyl pyrazolone-5 (HPMTFP) and dimethyl sulfoxide (DMSO) with neodymium having molecular formula Nd(PMTFP)₃ · 2DMSO has been synthesized. Its crystal and molecular structures have been determined by a four-circle X-ray diffractometer. The complex crystallizes in monoclinic with space group P 2₁/n. a = 21.897 (4), b = 23.339 (4), c = 8.958 (2)Å, β = 96.61 (3)°, Z = 4. The Nd atom is coordinated by eight oxygen atoms, which takes a distorted delta dodecahedron arrangement around the central Nd atom. The average bond length of Nd—O is 2.45 Å. The IR spectra have been discussed as well.     

磁性离子Fe和Ni替代YBCO体系的结构特征和载流子局域化

为阐明磁性离子在不同替代位置对YBCO体系超导电性的影响机制，利用正电子湮没及相关实验手段结合数值模拟，系统研究了Fe和Ni掺杂的YBa₂Cu₃O_7-δ体系. 结果表明，Fe和Ni离子在替代过程中均以离子团簇的形式进入晶格. 当离子进入CuO₂面时，由于团簇改变了周围的电子结构，造成电子的局域化，并直接影响了电子对的配对和输运，因而强烈抑制了体系的超导电性.而当掺杂离子进入Cu-O链区时，它们同样通过团簇的形式改变周围 关键词： YBCO超导体 磁性离子替代 正电子湮没 数值模拟