Exploration on Integrating the Frontiers of Physics into the Teaching of Mathematical Physics Methods—Taking Legendre Polynomials as an Example
Legendre polynomials are an extremely important element of the mathematical physics method and have important applications in physics.A deep understand of Legendre polynomials has a significant impact on students'subsequent studies and work.However,many textbooks do not discuss the physical applications of Legendre polynomials in detail.They only briefly introduce polynomials and their properties,without discussing their application in physics research.To enhance teaching,this work proposes integrating the use of Legendre polynomials in frontier physics research into the curriculum.This will deepen students'understanding of the subject matter,stimulate their interest in learning,and broaden their knowledge.The aim is to assist students in applying the knowledge they have acquired to physics research and practical problem-solving.
mathematical and physical methodsLegendre polynomialsdielectronic recom binationX-ray angular distribution