All Problems

Wave Properties of particles. Schrodinger Equation.

Problem 6.77

A particle in the ground state is located in a unidimensional square potential well of length ll with absolutely impenetrable walls (0<x<l)(0< x< l). Find the probability of the particle staying within a region 13lx23l\frac{1}{3} l \leqslant x \leqslant \frac{2}{3} l.

Reveal Answer
P=1/3+3/2π=0.61P=1 / 3+\sqrt{3} / 2 \pi=0.61