All Problems

Wave Properties of particles. Schrodinger Equation.

Problem 6.64

A particle of mass \(m\) is located in a unidimensional square potential well with infinitely high walls. The width of the well is equal to 7 . Find the permitted values of energy of the particle taking into account that only those states of the particle's motion are realized for which the whole number of de Broglie half-waves are fitted within the given well.

Reveal Answer
En=n2π2ℏ2/2ml2, where n=1,2,…E_{n}=n^{2} \pi^{2} \hbar^{2} / 2 m l^{2}, \text { where } n=1,2, \ldots
Prev
Next