Ⅱ-Ⅵ族化合物薄膜电致发光

电致发光薄膜是平板显示器的重要材料之一,我们从研究ZnS:Mn,Cu直流电致发光薄膜的大面积稳定发光开始,首次将稀土离子引进直流电致发光薄膜,实现了各色的直流电致发光,并研究其激发机理、过热电子的能量分布、稀土离子的碰撞截面和稀土离子发光中心在晶格中的位置等。在国内首先研制成功ZnS:Mn交流电致发光薄膜计算机终端显示器,并扩大面积到640×480像素(对角线10英寸)。为了实现彩色化显示,研制出稀土离子掺杂的各色交流电致发光薄膜。研究不同稀土离子在薄膜中的浓度猝灭,以便提高薄膜的发光亮度。在致力于实现彩色的过程中,首要的任务是提高蓝色电致发光薄膜的亮度和探索新的蓝色电致发光薄膜材料:从ZnS:TmF₃到CaS:TmF₃,发光亮度有了很大的提高;使SrS:Ce薄膜蓝色电致发光的亮度超过1000cd/m²;同时探索纳米Si和非晶Si/SiO₂超晶格结构的蓝色电致发光。成功地实现了ZnS:Mn/SrS:Ce白色电致发光和SrS:HoF₃三基色线谱发射的白色电致发光,发光亮度也超过1000cd/m²。     

Minimal Submanifolds in a Locally Symmetric and Conformally Flat Space

We study minimal submanifolds in the locally symmetric and conformally flat Riemannian manifold and generalize Yau's result obtained in J. Amer. Math. 97 (1975), 76–100.     

Partially isometric dilations of noncommuting -tuples of operators

Given a row contraction of operators on a Hilbert space and a family of projections on the space that stabilizes the operators, we show there is a unique minimal joint dilation to a row contraction of partial isometries that satisfy natural relations. For a fixed row contraction the set of all dilations forms a partially ordered set with a largest and smallest element. A key technical device in our analysis is a connection with directed graphs. We use a Wold decomposition for partial isometries to describe the models for these dilations, and we discuss how the basic properties of a dilation depend on the row contraction.

     

A remark on divisibility of definable groups

We show that if G is a definably compact, definably connected definable group defined in an arbitrary o‐minimal structure, then G is divisible. Furthermore, if G is defined in an o‐minimal expansion of a field, k ∈ ? and p_k : G → G is the definable map given by p_k (x ) = x^k for all x ∈ G , then we have |(p_k )^–1(x )| ≥ k^r for all x ∈ G , where r > 0 is the maximal dimension of abelian definable subgroups of G . (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Timelike Minimal Surfaces via Loop Groups

This work consists of two parts. In Part I, we shall give a systematic study of Lorentz conformal structure from structural viewpoints. We study manifolds with split-complex structure. We apply general results on split-complex structure for the study of Lorentz surfaces.In Part II, we study the conformal realization of Lorentz surfaces in the Minkowski 3-space via conformal minimal immersions. We apply loop group theoretic Weierstrass-type representation of timelike constant mean curvature for timelike minimal surfaces. Classical integral representation formula for timelike minimal surfaces will be recovered from loop group theoretic viewpoint.     

Exceptional Θ-Correspondences I

Let G be either a split SO(2n+2), or a split adjoint group of type En, (n=6,7,8), over a p-adic field. In this article we study correspondences arising by restricting the minimal representation of G to various dual pairs in G.