Quantum integrability and symmetric functions

量子可积性和对称函数

• 批准号: DE160100958
• 负责人: A/Prof Michael Wheeler
• 金额: $ 21.04万
• 依托单位: The University of Melbourne
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Early Career Researcher Award
• 财政年份: 2016
• 资助国家: 澳大利亚
• 起止时间: 2016-02-01 至 2019-02-28
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DE160100958
• 关键词: Quantum; integrability; symmetric; functions

This project aims to develop new connections between quantum integrability and a central area of pure mathematics, symmetric function theory. Quantum integrability is one of the most important areas of mathematical physics, in view of its application to modern physical theories and its mathematical richness. The project intends to use advanced symmetric function techniques to calculate quantum mechanical quantities without any approximation, and to use the framework of quantum integrability to provide new results in symmetric function theory. The intended outcomes of the project will be new asymptotic expressions for correlation functions and more efficient computer algorithms for the calculation of a variety of symmetric functions.

该项目旨在开发量子可积性与纯数学中心领域对称函数理论之间的新联系。量子可积性是数学物理学中最重要的领域之一，因为它在现代物理理论中的应用及其数学丰富性。该项目拟利用先进的对称函数技术，在没有任何近似的情况下计算量子力学量，并利用量子可积性的框架提供对称函数理论的新结果。该项目的预期成果将是相关函数的新的渐近表达式和计算各种对称函数的更有效的计算机算法。