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

美国-保加利亚合作研究：可积系统及其在量子物理中的应用

基本信息

批准号：
9724747
负责人：
Henrik Aratyn
金额：
$ 1.57万
依托单位：
University of Illinois at Chicago
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
1997
资助国家：
美国
起止时间：
1997-12-01 至 2000-11-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=9724747&HistoricalAwards=false
关键词：
U.S.Bulgarian Cooperative Research Integrable

项目摘要

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.

INT 97-24747 ARATYN这个美国 - 浴室合作研究项目是关于“量子物理学的整合系统和应用”。主要研究人员是伊利诺伊大学芝加哥大学和博士的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。研究人员建议将重点放在四个主要主题上：1）降低的KP集成系统的关系和仿射Kac-Moody对称性的理论； 2）经典集成系统的离散差异类似物； 3）连续性和离散集成系统和量子集成模型的关系； 4）对其结果的一些有趣的物理应用。在过去的二十年中，研究主题是数学物理学中最重要的，并且仍在积极发展。这项工作对于新的Instight涉及与物理相关的现场理论模型的工作非常重要，这些模型从非线性孤子物理学和平面统计力学的完全可集成的系统到弦乐和膜理论。它将代表开发一致的系统方法的进步，以了解连续和离散模型之间的联系。该物理研究项目实现了将美国和保加利亚领先的专家汇集在一起的计划目标，以结合互补的努力和在强大的共同利益和能力的领域，基于平等，互惠和利益的共同性。