晋 中 学 院本科毕业论文(设计)题 目 势阱中粒子运动的能级和波函数 院 系 物理与电子工程学院 专 业 物理学 一维势垒——一维散射中的几率密度摘 要: 利用数值计算方法讨论了粒子在一维“方形”势垒中运动时的粒子的几率分布,并给出了几率密度图.从这些图我们可以清楚的看出不同能量的粒子在“方形”势垒散射时的几率分布情况, 并讨论了透射系数、反射系数与势垒宽度的关系.关键词:几率密度; 势垒 几率密度; 阶梯势; 势垒; 几率密度阶梯势; 势垒; 几率密度; 阶梯势; 势垒One-dimensional square potentials— One-dimensional square potentials Author’s Name: JianPing Gong Tutor:JianPing GongABSTRACT: In this paper, we outline the quantitative calculation of the stationary states of the particle. We limit ourselves to one-dimensional models. We shall give the results of this calculation for a certain number of simple cases, and discuss their physical implications. We study the motion of a particle in a “square potential”whose rapid spatial variation for certain values of introduce purely quantum effects. We consider the quantum mechanics of a particle which encounters the potential step with and. We next study more complicated potential form, the rectangular potential barrier. We draw as a function of by numerical calculation. From this figure, we can see clearly an important difference between classical mechanics and quantum mechanics.KEYWORDS ： Probability density;Potential steps;Potential barriers; Classical mechanics; Quantum mechanics“Keywords” 用 小 三 号 号 “ Times New Roman” 加 粗 顶 格 , 内 容 用 四 号 “ Times New Roman” ，段前空 0 行 , 行距采纳固定值 22 磅 ,采纳悬挂缩进 ( 约 9.2 字符 ) 与上面的内容对齐 .单词后加分号后打一个空格 , 然后再写下一个词 ,最后一个词不用分号目录引言 11 势垒模型与量子力学方程 21.1 势垒模型 21.1.1 势垒模型 21.1.1.1 势垒模型 21.2 量子力学方程与边界条件 32 ...
