高师理科学刊2024，Vol.44Issue(4)：107-110,4.DOI:10.3969/j.issn.1007-9831.2024.04.020
量子力学教学中的几个数学细节
Some mathematic details of questions in teaching of quantum mechanics
任智1
作者信息
- 1. 百色学院 材料科学与工程学院,广西 百色 533000
- 折叠
摘要
Abstract
Wave mechanics is one of branch of quantum mechanics using the mathematic formalism of operator,eigenvalue equation and operator algebra.Based on the analysis of the troubleshooting process of three mathematically related scenarios in quantum mechanical teaching,(1)commutation relation derivation of between operator (x ˆ)and (pˆ)x,(2)introduction of Eigen-function of position operator,(3)derivation of equation of motion of operator,the necessity of a mastery of clarity of mathematic definition,rigorousness in derivation and the knowledge of variety of mathematical forms and their mutual transformation among them,is shown to be vital for the real understanding of quantum mechanics.关键词
算符/位置算符/运动方程/量子力学Key words
operator/position operator/equation of motion/quantum mechanics分类
数理科学引用本文复制引用
任智..量子力学教学中的几个数学细节[J].高师理科学刊,2024,44(4):107-110,4.
