Strictly pseudoconvex domains and algebraic varieties

In the paper, we consider applications of strictly pseudoconvex domains to the problems of algebraicity and rationality. We give a new proof of the Kodaira theorem on the algebraicity of a surface and we also prove a multidimensional version of this theorem. Theorems analogous to the Hodge index theorem and the Lefschetz theorem about (1, 1)-classes are obtained for strictly pseudoconvex domains. Conjectures on the geometry of strictly pseudoconvex domains on algebraic surfaces are formulated. Translated fromMatematicheskie Zametki, Vol. 60, No. 3, pp. 414–422, September, 1996. This research was supported by the Russian Foundation for Basic Research under grant No. 93-01-00225 and by the International Science Foundation under grant No. 508.     

外混合气溶胶粒子光散射的等效性

以两种典型的气溶胶粒子组成的单分散和多分散处理混合气溶胶粒子系统的光散射的各效率因子，各散射截面和散射相函数分析了以等效折射率描述由具有不同折射率的各种粒子组成的混合气溶胶粒子系统的适用性，结果表明，对单分散系统，本不同的混合比下对于许多尺度参数吸收效率因子和散射相函数的等效性很差，对多分散系统，在不同的混合比下等效性较稳定但各散射光学量的余差很大，因而对多分散系外混合气溶胶粒子系统如使用等效折射     

An Oscillation Theorem for a Sturm -Liouville Eigenvalue Problem

We consider a certain Sturm - Liouville eigenvalue problem with self- adjoint and non -separated boundary conditions. We derive an explicit formula for the oscillation number of any given eigenfunction.     

EELS studies of surface phonons on Ag(111)

High-resolution electron energy loss spectroscopy is used to study surface phonons in the direction of qG on Ag(111). The gap mode (S₂) at in the surface Brillouin zone is measured for the first time. We have also measured the Rayleigh mode and the resonance mode up to the zone boundary. The results are complementary to the earlier He atom scattering measurements and are in good agreement with the first-principles calculations performed recently.     

Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory

Infinite dimensional analysis is developed on an abstract Boson-Fermion Fock space. A general class of Dirac operators acting there is introduced and properties of them are investigated. An index theorem for the Dirac operators is established in terms of a path integral on a loop space. It is shown that the abstract formalism presented here gives a mathematical unification for some models of supersymmetric quantum field theory.     

Application of the chromatographic step profile method for determination of water film pressure and surface free energy of quartz

Summary Investigation of water adsorption by the step profile method (Glueckauf method) was carried out with the help of a modified gas chromatography equipped with thermal-conductivity detector. On the basis of the adsorption isotherm obtained, the water film pressure and the polar component of the surface free energy of quartz were calculated. The calculated value of the polar component of the surface free energy of quartz agrees with analogous values obtained by other methods.     

Compton profile study of α-manganese

The results of a Compton profile study on polycrystallineα-Mn are reported. Our measurement are compared with theoretical results computed for different 3d-4s electron configurations within the RFA model. Best agreement between the measured and calculated values is found for 3d ^5·44s ^1·6 configuration. Theoretical Compton profile ofγ-Mn calculated using the same procedure is close to that for bcc phase with similar electron configurations.     

Propagation of partially coherent Gaussian laser beams in graded-index fibres

Using statistical approach the author has solved the equations for the mutual coherence function of partially coherent Gaussian laser beams in graded-index fibres. The expressions for the complex degree of coherence and the intensity distribution have also been shown that the self-focusing length inside the fibre depends upon the degree of coherence. The result have been discussed for both conical and cylindrical guides.     

正入射全自动扫描反射率绝对值光谱仪的研制

采用Ｍ型棱镜分光束法研制了一台全自动扫描绝对反射率光谱仪，测量光谱范围为３５０ｎｍ～８２０ｎｍ（１．５～３．５ｅＶ），样品入射角为５°，测量和数据采集处理全过程由计算机控制．测量绝对值精度优于±１％，测量重复性优于０．１％．采用本谱仪对热蒸发金膜和（１１１）锗本征体单晶进行测量，获得了与椭偏测量以及文献报道相一致的结果．