Chapter 2.2, Problem 2.5P

(a)

To determine

The normalization of $\psi \left(x,0\right)$.

(b)

To determine

The value of $\psi \left(x,t\right)$ and ${\left|\psi \left(x,t\right)\right|}^2$ also express them as a sinusoidal function of time.

(c)

To determine

The value of $\langle x\rangle$, then the angular frequency of oscillation and the amplitude of oscillation.

(d)

To determine

The value of $\langle p\rangle$.

(e)

To determine

The energy of the particle, the probability of getting each of them, the expected value of $H$ and its relation with $E_1\text{and}{E}_2$.