论文标题
矩阵产品的可视化:使用光来阐明抽象的数学概念
Visualisation of matrix product: Using light to clarify an abstract mathematical concept
论文作者
论文摘要
从纯正式的角度来看,教授矩阵对高中或大学级学生的产品的非核心性是一项艰巨的任务。本文的目的是提出一种简单的实验活动,用于教授基于琼斯演算的矩阵产物的非交换性,这是一种数学形式主义,用于通过矩阵和向量来描述偏振光。这项活动也可用于向学生介绍物理学中的矩阵,并说明抽象数学如何成为帮助我们解释和描述现实世界的强大工具。
Teaching the noncommutativity of the product of matrices to high school or college level students is a difficult task when approached from a purely formal perspective. The aim of this paper is to present a simple experimental activity for teaching the noncommutativity of the matrix product, based on the Jones calculus, a mathematical formalism for describing polarised light by means of matrices and vectors. This activity can also be useful to introduce students to the use of matrices in physics, and to illustrate how abstract mathematics can become a powerful tool to help us explain and describe the real world.