SOLVING PHYSICAL PROBLEMS IN HIGHER DIMENSIONAL SPACE

Dimension is an important concept in physics learning and research. In dealing with complicated physical problems, dimensionality reduction methods are often used to simplify the problem, so as to analyze and solve the simplified problem in a low dimensional space. However, when faced with specific physical problems, sometimes increasing the dimensions of the system can make the problem become more intuitive and simpler. This paper takes several specific physical problems as examples such as Gaussian integral, determinant calculation, normalizing the eigenstates of the harmonic oscillator in quantum mechanics, and generating functions of special functions, to demonstrate how to effectively solve the difficulties encountered in low dimensional teaching by improving the dimensions of the system. The purpose of this paper is to emphasize the significance of the concept of “dimension reduced strategy” in physics teaching, and cultivate students' divergent thinking abilities.