讲座题目:Adding potentials to superintegrable systems with symmetry on 3 dimensional conformally flat space 主讲人:黄晴 教授 主持人🌘:傅蔚 副教授 开始时间:2021-03-23 09:00:00 结束时间:2021-03-23 10:00:00 讲座地址♦︎💃🏽:腾讯会议 ID😅:638 555 750 主办单位🦹🏿♂️:数学科学学院
报告人简介🫶🏻: 黄晴,西北大学数学学院教授、博士生导师👩🦲。主要从事数学物理👁🗨、可积系统和对称群理论方面的研究,在Journal of Physics A𓀗、SIGMA👨🏻🍼、Journal of Mathematical Physics等期刊上发表多篇论文🖕🏼。主持国家自然科学基金青年项目与面上项目、陕西省自然科学基础研究计划青年项目与面上项目,曾获2010年陕西省科学技术奖一等奖(第三完成人)🤽。
报告内容: In this talk, we consider natural Hamiltonians associated with 3 dimensional conformally flat spaces, where the kinetic energies possess 2, 3 and 4 dimensional isometry algebras and the potential functions are added in the presence of symmetry. Separable potentials in the 3 dimensional space reduce to 3 or 4 parameter potentials for Darboux-Koenigs Hamiltonians. Other 3D coordinate systems reveal connections between Darboux-Koenigs and other well known super-integrable Hamiltonians, such as the Kepler problem and isotropic oscillator. |