高分子化学课程教学改革与实践初探

高分子化学是高分子材料专业最重要的专业技术基础课之一,既包含了理论基础知识,又注重实验教学。《高分子化学》作为贵州大学高分子材料与工程专业的主干课之一,作者针对高分子化学课程教学内容多、概念多、推导多、关联多等问题,对高分子化学教学现状进行了分析,从教学体系、教学内容、教学方法、考核方式、教材编写等多个方面提出了课程教学改革的一些见解。实践表明,高分子化学课程教学改革与实践探索在激发学生兴趣,提高学生的综合能力上已经初见成效。     

NEW EXACTLY SOLVABLE SUPERSYMMETRIC PERIODIC POTENTIALS

Using the formalism of supersymmetric quantum mechanics, we give an exact solution for a family of one-dimensional periodic potentials, which are the supersymmetric partners of the potential proportional to the trigonometric function cos(2x) such that the Schr?dinger equation for this potential is named the Mathieu equation mathematically. We show that the new potentials are distinctly different from their original ones. However, both have the same energy band structure. All the potentials obtained in this paper are free of singularities.