数学物理中精确可解模型的代数方法
基本信息
结项摘要
Our main goal is studying the exactly solvable models in mathematical and theoretical physics including completely integrable systems in classical and quantum mechanics, special functions and orthogonal polynomials and perfect state transfer in quantum information. The main tool is application of algebraic methods, especially quadratic algebras and their representations.
本项目主要研究数学和理论物理中的精确可解模型，研究内容包括经典力学和量子力学中的完全可积系统、特殊函数、正交多项式以及量子信息中的完美量子态传输。 .我们将应用代数方法，特别是二次型代数及其表示，作为主要研究工具。
项目摘要
这个项目的主要目的是发展数学物理的几个分支的代数方法。 我们的研究主要有三个分支:(1)抽象赋算子的代数方法及其应用; (ii)正交多项式和双正交有理函数理论中的代数方法; (iii)量子链和经典链中的完全转移和分数转移。 在这些分支中都得到了新的重要结果，这些结果将在数学物理的不同问题中加以利用。
项目成果
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暂无此项成果
数据更新时间：2023-05-31
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Oleksiy Zhedanov的其他基金
相似国自然基金
精确可解模型及在凝聚态物理中的应用
一、二维可解物理模型和数学物理问题
二维可积模型的精确解及其相关量子代数
开边界可解模型的构造及其精确解