U.S.-Bulgarian Cooperative Research: Integrable Systems andApplications to Quantum Physics

INT 97-24747 ARATYN这个美国和保加利亚的合作研究项目是关于“量子物理的可积系统和应用”。主要研究人员是芝加哥伊利诺伊大学的Henrik Aratyn博士，以及保加利亚科学院核研究和核能研究所的Svetlana Pacheva和Emil Nissimov博士。研究人员提出了四个主要的主题：1)简化的KP可积系统与仿射Kac-Moody对称性理论的关系；2)经典可积系统的离散差分类似；3)连续和离散可积系统与量子可积模型的关系；以及4)他们的结果的一些有趣的物理应用。这些研究课题是近二十年来数学物理学中最核心的课题之一，目前仍在积极发展中。从非线性孤子物理和平面统计力学中的完全可积系统到弦和膜理论，这项工作对物理相关场论模型的新注入具有重要意义。它将代表在理解连续和离散可积模型之间的联系的一致的系统方法的发展方面的进步。该物理研究项目实现了将美国和保加利亚的顶尖专家聚集在一起，在平等、互惠和互利的基础上，在共同利益和能力强的领域结合互补努力和能力的计划目标。

INT 97-24747 Aratyn This U.S.-Bulgarian cooperative research project is on "Integrable Systems and Applications to Quantum Physics." The principal investigators are Dr. Henrik Aratyn of the University of Illinois at Chicago and Drs. Svetlana Pacheva and Emil Nissimov of the Institute of Nuclear Research and Nuclear Energy of the Bulgarian Academy of Sciences. The researchers propose to focus on four main topics: 1) the relation of reduced KP integrable systems and the theory of affine Kac-Moody symmetry; 2) discrete-difference analogues of the classical integrable systems; 3) the relations of continuum and discrete integrable systems and quantum integrable models; and 4) some interesting physical application of their results. The research topics are some of the most central in mathematical physics in the past twenty years and are still actively developing. The work is significant for new instights into physically relevant field-theoretic models ranging from completely integrable systems in nonlinear soliton physics and planar statistical mechanics to string and membrane theories. It will represent an advance in the development of consistent systematic methods for understanding links between continuous and discrete integrable models. This project in physics research fulfills the program objectives of bringing together leading experts in the U.S. and Bulgaria to combine complementary efforts and capabilties in areas of strong mutual interest and competence on the basis of equality, reciprocity, and mutuality of benefit.