A general solution to the Schrödinger–Poisson equation for a charged hard wall: Application to potential profile of an AlN/GaN barrier structure

A general, system-independent, formulation of the parabolic Schrödinger–Poisson equation is presented for a charged hard wall in the limit of complete screening by the ground state. It is solved numerically using iteration and asymptotic boundary conditions. The solution gives a simple relation between the band bending and sheet charge density at an interface. Approximative analytical expressions for the potential profile and wave function are developed based on properties of the exact solution. Specific tests of the validity of the assumptions leading to the general solution are made. The assumption of complete screening by the ground state is found be a limitation; however, the general solution provides a fair approximate account of the potential profile when the bulk is doped. The general solution is further used in a simple model for the potential profile of an AlN/GaN barrier structure. The result compares well with the solution of the full Schrödinger–Poisson equation.     

Classification of certain subgraphs of the 3‐dimensional grid

We prove by “trial‐ and‐error” that up to isometry, there are exactly four different non‐empty cubic induced subgraphs of the 3‐dimensional grid with girth ≥ 10. © 2002 Wiley Periodicals, Inc. J Graph Theory 42: 34–60, 2003     

Sampling and interpolation of entire functions and exponential systems in convex domains

Research supported by the Norwegian Research Council for Science and Humanities (NAVF).     

中文网络论坛的研究之抽样设计

网络论坛(或称网络BBS)出现并成为人类信息传播的一种新方式,它集中体现了网络传播隐匿、交互、跨时空区域及信息海量的特性。因而,针对网络论坛的研究也成为网络传播研究的一个重要方面。本文针对网络论坛研究的特点和抽样设计中的若干难点,探讨了解决长时间跨度、大规模信息量的网络论坛抽样的设计思路,并结合“全球中文时事论坛研究项目”,给出了一个兼具科学性和可操作性的设计方案,对如何提高抽样效能等问题也进行了有益的探索。