Chapter A.2, Problem 8P

(a)

To determine

The relation between constant k to the particles momentum.

(b)

To determine

To Show:If a particle has such wave function then it is equally likely to find the particle at any position.

(c)

To determine

To Explain: The constant A must be infinitesimal if this formula is to be valid for all $x$.

(d)

To determine

To Show: The given wave function satisfies the differential equation $\frac{d\Psi }{dx}=ik\Psi$ .

(e)

To determine

To show: the function $A{e}^{ikx}$ obeys the same differential equation $\frac{d\Psi }{dx}=ik\Psi$ .