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

Aratyn：这个美国和保加利亚的合作研究项目是关于“量子物理学的可积系统和应用”。主要研究人员是芝加哥伊利诺伊大学的Henrik Aratyn博士。保加利亚科学院核研究与核能研究所的Svetlana Pacheva和Emil Nissimov说。研究人员提出了四个主要的研究方向：1)约化KP可积系统与仿射Kac-Moody对称性的关系；2)经典可积系统的离散差分类似物；3)连续统与离散可积系统与量子可积模型的关系；4)研究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领域最核心的研究课题之一，目前仍在积极发展。这项工作对于从非线性孤子物理和平面统计力学的完全可积系统到弦和膜理论的物理相关场论模型的新见解具有重要意义。它将代表在理解连续和离散可积模型之间的联系的一致系统方法的发展上的一个进步。这个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的计划目标，在平等、互惠和互利的基础上，在共同感兴趣和能力强的领域结合互补的努力和能力。

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.