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

INT 97-24747 Aratyn 这个美国-保加利亚的合作研究项目是“可积系统及其在量子物理学中的应用”。“主要调查人员是芝加哥伊利诺斯大学的Henrik Aratyn博士和保加利亚科学院核研究和核能研究所的Svetlana Pacheva博士和Emil Nissimov博士。 研究人员建议集中在四个主要主题：1）约化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物; 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。 研究课题是一些最核心的数学物理在过去的二十年中，仍在积极发展。 这项工作对于物理相关场论模型的新研究具有重要意义，这些模型包括非线性孤立子物理和平面统计力学中的完全可积系统以及弦和膜理论。 它将代表一个进步的发展一致的系统方法，了解连续和离散可积模型之间的联系。 这个物理研究项目实现了汇集美国和保加利亚领先专家的计划目标，在平等，互惠和互利的基础上，在具有强烈共同利益和能力的领域联合收割机互补努力和能力。

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.