Exact dynamics of low-dimensional quantum system - regular and disordered cases -

该项目是日本、美国和印度的成员调查员。在犹他大学，日本成员与Sutherland教授讨论了与量子系统进行长距离交互的时间，即距离相反的平方，i.e.1/r.D12。在补充Sutherland教授，日本成员与Efros教授和教授讨论了Raikh关于低尺寸系统的相关影响，并与吴教授讨论了分形排除统计学。1999年12月， Kuramoto和Kawakami去印度，并在中国数学科学研究所工作。他们用Murthy教授和教授教授Shankar讨论了与长距离互动的量子自旋链。在班加罗尔、Kuramoto和Kawakami教授与教授进行了广泛的讨论。关于集成量子模型和量子自旋模型的碎片。1999年10月，萨瑟兰教授来到日本，并在仙台和关西地区呆了两周。在这段时间里，他与Kuramoto和Kawakami进行了详细的讨论。他在仙台、大和京都为包括非专家在内的听众举办了讲座。在这个项目两年后，我们在量子自旋链、自旋梯子和相关电子系统的系统研究中取得了实质性进展。我们将继续进行我们的联合研究，包括实际的两维度自旋系统，以确保20年前沙斯特里和萨瑟兰的先驱想法。

This project has member investigators in Japan, United States and India. In University of Utah, Japanese members discussed with Prof. Sutherland on quantum system with a long-range interaction which decays as inverse square of the distance, i.e. 1/rィイD12ィエD1. In addition to Prof. Sutherland, Japanese members discussed with Prof. Efros and Prof. Raikh on correlation effects in low-dimensional systems, and with Prof. Wu on fractional exclusion statistics.In December 1999, Kuramoto and Kawakami went to India and stayed in Institute of Mathematical Science in Chennai. They discussed with Prof. Murthy and Prof. Shankar on quantum spin chain with long-range interactions. In Bangalore, Kuramoto and Kawakami made extensive discussion with Prof. Shastry on integrable quantum models and quantum spin models with frustration.In October 1999, Prof. Sutherland came to Japan and stayed for two weeks at Sendai and in Kansai area. During this stay he made detailed discussion with Kuramoto and Kawakami. He gave lectures in Sendai, Osaka and Kyoto for audience including nonspecialists.By this project for two years, we made substantial progress in systematic study on quantum spin chains, spin ladders and correlated electron systems. We shall continue on our joint research including the actual two-dimensional spin systems which realize the pioneering idea of Shastry and Sutherland 20 years ago.