Chapter 40, Problem 33EAP

To determine

(a)

To sketch: The graphs of ${\left|\psi \left(x\right)\right|}^2$ for $n=1$$n=2$ and $n=3$, and label the point $x=0$ and $x=L$.

To determine

(b)

The position in terms of $L$ at which the particle is most likely to be found.

To determine

(c)

The position in terms of $L$ at which the particle is least likely to be found.

To determine

(d)

The reason that the probability of finding the particles in the left one-third of the box is less than, equal to or greater than$\frac{1}{3}$.

To determine

(e)

The probability of the particle that will found in the left one third of the box.