文档介绍：对一维无限深势阱的研究
应用物理一班
张续猛,王欣
201041803028
201041803023
摘要:
粒子在一种简单外力场中做一维运动,其势能函数为U(X)=0 (0<x<a);U(x)=∞(x≥a或x≤0)。由于其函数图形像阱,且势能在一定区域为0,而在此区域外势能为无穷大,所以这种势能分布叫做一维无限深势阱。自由电子在一块金属中的运动相当于在势阱中的运动。在阱内,由于势能为零,粒子受到的总的力为零,其运动是自由的。在边界上x=0或x=a处,由于势能突然增加到无限大,粒子受到无限大指向阱内的力。因此,粒子的位置不可能到达0<x<a的范围以外。
关键词:粒子一维无限深势阱势能波函数边界
Abstract:
Particles in a simple external forces in the field to do a d movement, its potential function for U (X) = 0 (0 < X < a); U (x) = ∞(x quartile a or x than 0). Because its function graphic as well, and potential energy in a certain area of 0, and in the area for the problem of infinite, so the potential energy distribution is called a d unlimited deep potential trap. The free electrons in a piece of metal in the movement of the movement is equivalent to the potential trap. In a trap inside, because of potential energy to zero, by the force of the particles of zero, the movement is free. In the border x = 0 or x = a place, because of potential energy suddenly increased to infinity, by the infinite point to trap particles within the force. Therefore, particle position is not likely to reach the 0 < x < a outside the scope.
Keywords: particle a d unlimite