Majid conjecture: quantum Kac-Moody algebras version

Based on the n-fold tensor product version of the generalized double-bosonization construction, we prove the Majid conjecture of the quantum Kac-Moody algebras version. Particularly, we give explicitly the double-bosonization type-crossing constructions of quantum Kac-Moody algebras for affine types G_2^{(1)} , E_2^{(1)},and Tp,q,r, and in this way, we can recover generators of quantum Kac-Moody algebras with braided groups defined by R-matrices in the related braided tensor category. This gives us a better understanding for the algebra structures themselves of the quantum Kac-Moody algebras as a certain extension of module-algebras/module-coalgebras with respect to the related quantum subalgebras of finite types inside.     

A Golay3 sparse aperture optical system of primary mirror with free-form surface

Optical Review - To image distant and dim objects, this paper designs a sparse aperture optical system with a small F number and a large filling factor. The design process is divided into three...     

广义布洛赫条件下二维晶格的磁交换作用

二维磁性材料是近几年新兴的研究领域,该材料在开发自旋电子器件等领域具备良好的应用潜能.为了了解二维磁性材料的磁性质,明确体系内各近邻磁性原子间的磁相互作用非常重要.第一性原理为各近邻磁交换参数的计算奠定了基础.目前各近邻参数的第一性原理计算常用的是能量映射法,但这种方法存在一定的缺陷.本文通过广义布洛赫条件推导了3种常见二维磁性结构的海森伯作用与Dzyaloshinskii-Moriya (DM)相互作用的自旋螺旋色散关系,这3种结构为四方结构,元胞包含一个磁性原子的六角结构,元胞包含两个磁性原子的六角结构.为了将本文推导的自旋螺旋色散关系应用于实际,我们通过第一性原理计算了一些材料的海森伯和DM作用的交换参数,这些材料分别是MnB,VSe₂,MnSTe,Cr₂I₃Cl₃.其中,MnSTe和Cr₂I3Cl₃都属于二维Janus材料,磁性原子层的上下层对称性破缺,整个体系存在DM相互作用.     

荧光磁性双功能树状分子微球的制备与表征

采用化学共沉淀法, 以FeCl₃·6H₂O和FeSO₄·7H₂O为原料制备了磁性Fe₃O₄纳米颗粒, 采用树状大分子对其进行修饰, 然后通过树状大分子具有的大量空腔及末端丰富的氨基, 经吸附、 键合, 与大量巯基乙酸修饰的CdSe/CdS量子点连接, 得到三代具有荧光磁性双功能的树状分子微球, 并对其进行结构表征与性能测试. 结果表明: 三代复合后的微球的平均粒径分别为15, 34和49 nm; 一代荧光磁性微球的发光性能最佳, 其量子产率达24.1%; 零代荧光磁性微球磁性能最优, 其饱和磁化强度为15.96 A·m²/kg. 这种具有荧光和磁性的双功能纳米复合微粒有望在免疫检测、 靶向治疗、 荧光追踪和磁性分离等方面得到广泛应用.     

High performance two-color one megapixel CMOS ROIC for QWIP detectors

FLIR Systems, Inc. has designed and fabricated the ISC0501 CMOS readout integrated circuit (ROIC) for quantum well infrared photodetectors (QWIPs). The ISC0501 is a two-color 1024 × 1024 format array with a 30 μm pixel pitch. The ROIC contains a separate analog signal path for each wavelength band. Separate signal paths allow the two-colors to have optimized detector biases, integration times, offsets and gains. This architecture also allows both colors to simultaneously sample a scene and readout the pixel data. This paper will describe the interface, design and features of the ROIC as well as a summary of the characterization test results. A sample image is included from a focal plane array (FPA) built by the Jet Propulsion Laboratory (JPL) using the ISC0501 ROIC with QWIP detectors designed by JPL.     

Homogeneous lagrangian systems

The relationship between parameter-independent and parameter-dependent variational problems, and hence between homogeneous and inhomogeneous Lagrangian systems, may be used to explain some aspects of the Cartan form in field theory.     

Strong convergence of modified Ishikawa iteration for a nonexpansive semigroup in Banach spaces

In this work, we give certain control conditions for a modified Ishikawa iteration to compute common fixed points of a kind of nonexpansive semigroup in Banach spaces. These results improve and extend those in Somyot and Rattanaporn (2008) [7] and Song and Xu (2008) [11].     

不同离子液体双水相萃取钯

为实现贵金属钯的绿色、高效萃取,本文使用有“绿色溶剂”之称的离子液体与磷酸钾形成的双水相体系,不加入其它萃取剂对钯(Ⅱ)进行萃取,并采用浊点法对所研究的6种咪唑类离子液体的双结线和系线进行测定。 结果表明,基于氯离子和溴离子的离子液体成相能力和萃取率无显著差异。 阳离子上支链的疏水性是影响咪唑类离子液体成相能力的关键因素之一。 与不含官能团的离子液体相比,支链上嵌入氨基和腈基的离子液体,成相能力较低,但萃取率分别提高了11.57%和34.26%。 当含腈基的离子液体浓度和磷酸钾浓度分别为5.00%和39.55%时,离子液体双水相体系对钯(Ⅱ)的萃取率可达到100%。 本文的研究成果为设计/选择可利用其双水相体系高效萃取钯(Ⅱ)的离子液体提供了理论基础和数据支持。     

Unambiguous determining the Curie point in perovskite manganite with second-order phase transition by scaling method

The accurate determination of the Curie temperature (T_C) is particularly important in describing the magnetic behavior close to the paramagnetic-ferromagnetic (PM-FM) phase transition. In this paper, we studied the magnetic phase transition and accurately predicted the Curie point of perovskite manganite La_0.825Sr_0.175MnO₃. We find the compound shows a second-order PM-FM transition and has a large magnetic entropy change (MEC) in vicinity of phase transition region. Based on the scaling law and the correlation between magnetic field and MEC, the precise and magnetic-independent Curie temperature was determined to be 281.7 K, obviously lower than 285.4 K decided from the magnetization versus temperature. The reliability of new Curie temperature can be well confirmed by the modified Arrott plot together with the critical exponents. Our results not only open up a new pathway for precise definition of Curie point but also facilitate the efficient exploitation of spontaneous magnetic bubbles in perovskite manganite.