解析延拓课程教学改革浅探——兼谈最大熵方法

Exploration on the Teaching Reform of Analytic Continuation Course——And Talking about the Maximum Entropy Method

针对数学物理方法课程教学中学生普遍反映比较抽象的解析延拓部分,设计以数值模拟方法为技术路线的教学方案.通过物理模型的构建,介绍线性响应理论和最大熵解析延拓方法的基本原理,全面设计课堂教学环节,展示对具体实例的计算结果.最后,对课程实践过程中的有待提高之处进行反思和探讨.

For the analytic continuation part in Mathematical Physics course which is more or less abstract to students, we design the course teaching based on numerical simulation methods. In this paper, via the construction of physical model, we introduce the basic aspects for linear response theory and maximum entropy analytic continuation method. We design the specific procedure in course teaching process, and demonstrate the numerical results for a specific example. Finally, we discuss the possible directions to improve present course teaching process.