Static electric fields in an infinite plane condensor with one or three homogeneous layers

Various expressions are derived for the Green's functions for a point charge in an infinite plane condensor comprising one or three homogeneous isolating parallel dielectric layers. In view of numerical evaluations needed for calculating space charge effects in detectors (e.g. RPC's) the merits of these (series and integral) representations are discussed. It turns out that in most cases the integral representations are more favourable after their convergence has been improved. This is done by subtracting simple terms having the same asymptotic behaviour as certain too slowly converging terms and adding closed expressions resulting from the integration of the simple terms. The method is demonstrated in some detail. In addition analytic expressions for the weighting field of a strip electrode are derived which allow calculation of induced signals and crosstalk

Analytic expressions for static electric fields in an infinite plane condenser with one or three homogeneous layers

Expressions for the electrostatic field of a point charge in an infinite plane condenser comprising one or three homogeneous isolating parallel dielectric layers are presented. These solutions are essential for detector physics simulations of Parallel Plate Chambers (PPCs) and Resistive Plate Chambers (RPCs). In addition, expressions for the weighting field of a strip electrode are presented which allow calculation of induced signals and crosstalk in these detectors. A detailed discussion of the derivation of these solutions can be found in \cite{schnizer}

Self-Assembly of Coordination Polymers

近年来，配位聚合物的自组装研究备受关注。它们在非线性光学、分子磁体、气体吸附、荧光等新型材料以及分子识别、多相催化等领域显示出诱人的应用前景。其中，热点课题—手性配位聚合物自发拆分现象的研究不但对于探讨生命同手性起源具有重要意义，而且在手性识别和不对称催化领域有着潜在的应用价值。本文首次合成了两种含有21螺旋链结构的配位聚合物[Ag(pyta)]n(1)和[Ag(prta)]n(2)。晶体结构分析结果表明，1和2中的银离子都是扭曲的四面体配位，pyta-和prta-均贡献出其N-O-S配位原子，其配位模式都是在文献中罕见的。所不同的是pyta-为四齿配体，化合物1为二维结构，产物是外消旋的配位...Self－assembly of coordination polymers has attracted much attention because of their remarkable applications to various fields such as nonlinear optical (NLO) materials, molecular magnets, gas absorption, fluorescent materials, as well as heterogeneous catalysis. Recently, the spontaneous resolution of chiral coordination polymers has become one of the hottest topics discussed by scientists from d...学位：理学硕士院系专业：化学化工学院化学系_无机化学学号：20012500

Generalization of the Darboux transformation and generalized harmonic oscillators

The Darbroux transformation is generalized for time-dependent Hamiltonian systems which include a term linear in momentum and a time-dependent mass. The formalism for the $N$-fold application of the transformation is also established, and these formalisms are applied for a general quadratic system (a generalized harmonic oscillator) and a quadratic system with an inverse-square interaction up to N=2. Among the new features found, it is shown, for the general quadratic system, that the shape of potential difference between the original system and the transformed system could oscillate according to a classical solution, which is related to the existence of coherent states in the system

Representations of U_q(sl(N)) at Roots of Unity

The Gelfand--Zetlin basis for representations of $U_q(sl(N))$ is improved to fit better the case when $q$ is a root of unity. The usual $q$-deformed representations, as well as the nilpotent, periodic (cyclic), semi-periodic (semi-cyclic) and also some atypical representations are now described with the same formalism.Comment: 18 pages, Plain TeX, Macros harvmac.tex and epsf needed 3 figures in a uuencoded tar separate file. Some references are added. Also available at http://lapphp0.in2p3.fr/preplapp/psth/uqsln.ps.g