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-保加利亚合作研究项目的主题是“可积系统及其在量子物理中的应用”。主要研究人员是伊利诺伊大学芝加哥分校的 Henrik Aratyn 博士和 Drs.保加利亚科学院核研究与核能研究所的斯韦特兰娜·帕切娃和埃米尔·尼西莫夫。研究人员建议重点关注四个主题：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； 4）他们的结果的一些有趣的物理应用。这些研究课题是过去二十年来数学物理学中最核心的一些课题，并且仍在积极发展中。这项工作对于对物理相关场论模型（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）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开发方面取得的进步。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、互惠和互惠互利的基础上，在共同感兴趣和能力强的领域结合互补的努力和能力的计划目标。