Theoretical Research in Statistical Mechanics

理论研究将在各个方面进行， 具有拓扑量子数的系统。 研究 量子霍尔效应将继续和问题， 应澄清霍尔器件中产生的电流。 工作 二维量子霍尔效应和 调制系统和相变理论也将是 持续期间内的 量子化涡旋运动的新工作 超流氦在非常低的温度下开始。 一 拓扑量子数的全面回顾将是 写着 %%% 本文从理论上探讨了“以人为本”的内涵和原因， 各种量子效应。 需要调查的系统包括 二维电子气及其表现形式， 量子霍尔效应和超流氦 的影响 各种缺陷结构，如涡流，将是重点， 这项工作

Theoretical research will be conducted on various aspects of systems which have topological quantum numbers. Research on the quantum Hall effect will be continued and the question of where the current is generated in a Hall device should be clarified. Work on the analogy between the quantum Hall effect in a two-dimensionally modulated system and the theory of phase transitions will also be continued. New work on the motion of quantized vortices in superfluid helium at very low temperatures is being started. A comprehensive review of topological quantum numbers will be written. %%% Theoretical research will be conducted on the meaning and cause of various quantum effects. Systems to be investigated include the two-dimensional electron gas and its manifestation through the quantum Hall effect and superfluid helium. The influence of various defect structures, such as vortices, will be the focus of this work.