Mathematical Sciences: Research in Disordered Systems

这个研究计划的主要课题是研究在无序系统中发生的现象。拟研究的课题有：1)随机薛定谔算子。随机环境中的经典自旋系统。III)无序量子自旋模型、渗透和接触过程。Kosterlitz-Thouless过渡。V)随机环境中的聚合物。杂质能极大地改变某些材料的性质。最著名的例子是晶体管，它是由某些材料制成的，这些材料的特性被杂质改变了。这种材料是由无序系统模拟的。提出的研究课题包括量子力学、经典力学和量子统计力学中的系统。＊＊＊

9500720 Klein The main subject of this research proposal is the study of phenomena that occur in disordered systems. The topics of proposed research are: I) Random Schrodinger operators. II) Classical spin systems in a random environment. III) Disordered quantum spin models, percolation and contact processes. IV) Kosterlitz-Thouless transition. V) Polymers in a random environment. Impurities can change dramatically the properties of certain materials. The best known examples are transistors, which are made of certain materials whose properties are modified by impurities. Such materials are modelled by disordered systems. The proposed topics of research include systems in Quantum Mechanics and in Classical and Quantum Statistical Mechanics. ***