Chapter 40, Problem 44E

(a)

To determine

The ratio of ${\left|\psi \right|}^2$ at $x=+A$ to ${\left|\psi \right|}^2$ at $x=0$ for the wave function $\psi \left(x\right)=C{e}^{-\frac{\sqrt{m{k}^{\prime }}{x}^2}{2\hslash }}$.

(b)

To determine

The ratio of ${\left|\psi \right|}^2$ at $x=+2A$ to ${\left|\psi \right|}^2$ at $x=0$ for the wave function $\psi \left(x\right)=C{e}^{-\frac{\sqrt{m{k}^{\prime }}{x}^2}{2\hslash }}$.