Roots of Unity: Representations of Quantum Groups

Representations of Quantum Groups U_q (g_n), g_n any semi simple Lie algebra of rank n, are constructed from arbitrary representations of rank n-1 quantum groups for q a root of unity. Representations which have the maximal dimension and number of free parameters for irreducible representations arise as special cases.Comment: 23 page

Magnetic Measurement of Alignment of Main LHC Dipoles and Associated Correctors

We discuss the method developed for the verification of alignment of magnetic elements contained in the LHC cryodipole cold mass during series tests at CERN. First, we outline motivations and requirements and then we focus on test strategy, equipment and procedures. Our goal is to express the magnetic field of the dipole and of its associated correctors w.r.t. the reference beam line, not accessible during cryogenic tests. To do so, we use traveling harmonic coil probes ("moles") that allow simultaneous measurement of the field and of the coil position. A laser tracker is used to relate these measurements to fiducials. In the dipole, the axis of the Quadrupole Configured Dipole (QCD) is used as an intermediate reference for the transfer. We provide details on the devices used for measurements in warm and cold conditions, some results from prototypes and pre-series dipoles and an assessment of the precision expected for the series tests

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

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

Warm and Cold Magnetic and Mechanical Alignment Tests of LHC Short Straight Sections

This paper contains a summary of the results of the magnetic and mechanical alignment tests performed at CERN on the first 111 arc Short Straight Sections. These include the mechanical axis of the Cold Bore Tube at room temperature, the magnetic axis of main quadrupoles and correctors at both room and cryogenic temperature, and the field direction of the main quadrupoles. The measurements show that the quality of the assemblies is generally within the requirements for the machine

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

Selective Oxidation of 1,2-propane Glycol to Methylglyoxal: the Preparation of Ag/ZrO2 Catalysts by Biosynthesis Methods

丙酮醛（MGX）是一种重要的有机合成中间体，主要用作药物中间体，也广泛用于制备农药、食品添加剂等。丙酮醛通过与甲醛、氨等反应可以制得医药中间体4-甲基咪唑，还可以通过歧化反应制得用途广泛的乳酸。近年来随着咪唑以及呋喃酮等香料需求的增加，丙酮醛的需求量也日益增加，但它的天然存在量很少，而国内丙酮醛的生产起步晚，且规模较小。另外，丙酮醛的传统制备方法中所采用的催化剂多为电解银催化剂，电解银催化剂在反应温度低于500℃时活性不够，产物中有较多副产物羟基丙酮，而在高于500℃时，银微晶在高温条件下容易快速团聚导致催化活性下降。因此探索和深入研究在低温条件下具有高催化性能的催化剂，是丙酮醛实现经济、“绿...As an important organic intermediate, methylglyoxal(MGX) is mainly used as drug intermediates, and also has important applications in agricultural pesticide, food additives and so on. MGX can react with formaldehyde and ammonia to produce imidazole, which is a kind of drug intermediates. In addition, lactic acid can be produced by disproportionation reaction of MGX. Recently, the demand for MGX in...学位：工学硕士院系专业：化学化工学院化学工程与生物工程系_工业催化学号：2062007115090

Status Of The FAIR Synchrotron Projects SIS18 And SIS100

A large fraction of the program to upgrade the existingheavy ion synchrotron SIS18 as injector for the FAIR synchrotron SIS100 has been successfully completed. With the achieved technical status, a major increase of theaccelerated number of heavy ions could be reached. Thenow available performance especially demonstrates thefeasibility of high intensity beams of medium charge stateheavy ions with a sufficient control of the dynamicvacuum and connected charge exchange loss. Two furtherupgrade measures, the installation of additional magneticalloy (MA) acceleration cavities and the exchange of themain dipole power converter, are presently beingimplemented. For the FAIR synchrotron SIS100, theprocurement of all major components with longproduction times has been started. With the delivery andtesting of several pre-series components, the phase ofoutstanding technical reserach and developments could becompleted and the readiness for series productionachieved