All Problems

Wave Properties of particles. Schrodinger Equation.

Problem 6.82

A particle is located in a two-dimensional square potential well with absolutely impenetrable walls (0<x<a,0<y<b)(0< x< a, 0< y< b). Find the probability of the particle with the lowest energy to be located within a region 0<x<a/30< x < a / 3.

Reveal Answer
P=1/33/4π=19.5%P=1 / 3-\sqrt{3} / 4 \pi=19.5 \%