Taylor公式在量子力学近似计算的一些应用

Some Applications of Taylor’s Formula in Approximate Calculations of Quantum Mechanics

摘要: 高等数学中关于Taylor公式或者Taylor中值定理往往都是学生不好理解和消化的知识，尤其是学生不知道为什么要学习Taylor公式，在此通过几个量子力学有关的有意思的例子来说明Taylor公式的重要性，以及近似计算在学习和研究当中的重要性。

Abstract: In advanced mathematics, Taylor’s formula or Taylor’s mean value theorem are often difficult for students to understand and digest. In particular, students do not know why they should learn Taylor’s formula. Here some interesting examples related to quantum mechanics are used to illustrate the importance of Taylor’s formula and the importance of approximate calculations in learning and research.