Poisson-Type Limit Theorems for Eigenvalues of Finite-Volume Anderson Hamiltonians

We consider the spectral problem for the random Schrödinger operator on the multidimensional lattice torus increasing to the whole of lattice, with an i.i.d. potential (Anderson Hamiltonian). We prove complete Poisson-type limit theorems for the (normalized) eigenvalues and their locations, provided that the upper tails of the distribution of potential decay at infinity slower than the double exponential tails. For the fractional-exponential tails, the strong influence of the parameters of the model on a specification of the normalizing constants is described.     

由复映射z←z~α十c(α<0)所构造的广义M-集的研究

阐述了构造复映射z←zα＋c（α＜0）所产生的广义Mandelbrot-集（简称M-集或M-分形图）的逃逸时间算法．通过改变参数a，作出了一系列有趣的分形图．这些分形图为若干卫星群环绕中央恒星的星群结构．定量地研究了恒星和卫星群的几何结构，并对a取非整数时分形图的结构特点和卫星群胚胎出现的原因进行了分析．最后给出几点结论．     

Nonextensive interpretation of radiative recombination in electron cooling

An interest for the low-energy range of the nonextensive distribution function arises from the study of radiative recombination in electron cooling devices in particle accelerators, whose experimentally measured reaction rates are much above the theoretical prediction. The use of generalized distributions, that differ from the Maxwellian in the low energy part (due to subdiffusion between electron and ion bunches), may account for the observed rate enhancement. In this work, we consider the isotropic distribution function and we propose a possible experiment for verifying the existence of a cut-off in the generalized momentum distribution, by measuring the spectrum of the X-rays emitted from radiative recombination reactions.     

椭圆孔光子晶体光纤的本地正交函数模型

提出了一种用于分析椭圆孔光子晶体光纤的正交函数模型.发展了一种新型超格子的构造方法，将光子晶体光纤的横向介电常数表示为两种周期性结构叠加，这两种周期性结构分别用余弦函数展开；同时将横向电场以Hermite-Gaussian函数展开.利用正交函数的性质，将全矢量波动方程转化为矩阵本征值问题，求得两偏振模式传输常数.利用此模型可以研究圆孔及椭圆孔光子晶体光纤的模式特性、色散特性、偏振特性等. 关键词： 光子晶体光纤 超格子 正交函数 本征值问题     

Asset Pricing under Progressive Taxes and Existence of General Equilibrium

This paper shows that the existence of general equilibrium in a two-period economy with financial markets and progressive anonymous tax system is not at all problematic, provided securities are purely financial. We explore the concepts of weakly and strongly arbitrage-free security price for return and tax system, and prove arbitrage-free asset pricing theorems without short-sale restrictions. A general equilibrium is a set of current and future prices (contingent on uncertain events) and a set of individual plans such that all markets are cleared. The existence of such an equilibrium is proved under the following conditions: continuous, weakly convex, strictly monotone, complete preferences and strictly positive endowments.     

Production of neutron-rich nuclei in fission induced by neutrons generated by the p + <Superscript>13</Superscript>C reaction at 55 MeV

Cross-sections for the production of neutron-rich nuclei obtained by neutron-induced fission of natural uranium have been measured. The neutrons were generated by bombarding a ¹³C target with 55 MeV protons. The results, position of the maximum in the (Z, A)-plane, width and magnitude, are very comparable with those where the neutrons are generated by bombardment of natural ¹²C graphite with 50 MeV deuterons. Depending on the geometry of the converter/target assembly the isotope yields, however, are a factor of 2-3 lower due to less efficient production of neutrons per primary projectile, especially at small forward angles. Received: 8 November 2002 / Accepted: 20 December 2002 / Published online: 15 April 2003     

Spatial discrimination in dimensional analysis and the reduction of variables in the equations of fluid physics

Summary Dimensional analysis with spatial discrimination is used to lower the number of unknowns in the equations governing Newtonian fluids. The authors of this paper have agreed to not receive the proofs for corection.     

A truncation/recoupling method for eigenvalues and eigenvectors ideal for parallel computation

Summary We review a new truncation/recoupling method to obtain eigenvalues and eigenvectors of anF-mode vibrational Hamiltonian. In particular we focus on the block diagonalization aspects of the method which are ideal for massive parallelization, and we demonstrate this using H₂O₂ as an example. We then present vibrational energies for non-rotating HO₂ and HCN, which illustrate several key advantages of this method.     

Coulomb screening in superconducting PdH

Summary It is pointed out that the electron pairs stability in superconducting PdH (D) requires a superscreening of the proton (deuteron) Coulomb potential. This superscreening is evaluated and discussed. It is conjectured that it can have the effect of producing detectable DD nuclear fusion events in superconducting PdD. Due to the relevance of its scientific content, this paper has been given priority by the Journal Direction.