Support for US participants in Advanced Study Institute on INTEGRABLE SYSTEMS: FROM CLASSICAL TO QUANTUM

[摘要]本提案要求支持10-15名美国人参加由蒙特利尔大学主办的北约高级研究所“差分方程的对称性和可积分性”，时间为1999年7月26日至8月6日。该研究所的目的是回顾近年来在这一领域发生的主要发展，特别是在量子领域。可积系统长期以来在数学物理中起着至关重要的作用。标准的例子包括中心力运动、谐振子和高度对称的系统，在过去的三十年中得到了极大的增强，现在包括相互作用的多体系统、耦合自旋链和具有无限自由度的可积系统。导致该主题当前工作的主要结果将以连贯的形式呈现，以便研究生和年轻研究者可以访问。

AbstractMillerThis proposal requests support for 10-15 US participants, particularly graduate students and postdocs, in the NATO Advanced Study Institute "Symmetries and Integrability of Difference Equations" to be hosted by the University of Montreal, July 26 - August 6, 1999. The purpose of the Institute is to review the principle developments that have occurred in this area in recent years, particularly in the quantum domain. Integrable systems have long played a crucial role in mathematical physics. Standard examples include central force motion, harmonic oscillators, and systems with a high degree of symmetry, have been greatly enhanced in the past thirty years, and now include interacting many body systems, coupled spin chains, and integrable systems with an infinity of degrees of freedom. The main results leading to current work in the subject will be presented in a coherent form that will be accessible to graduate students and young investigators.