Chapter 2.3, Problem 2.11P

(a)

To determine

Compute $\langle x\rangle ,\langle p\rangle ,\langle x^2\rangle ,$ and $\langle p^2\rangle$, for the states ${\psi }_0$ and ${\psi }_1$, by explicit integration.

(b)

To determine

To check the uncertainty principle for the states

(c)

To determine

Compute $\langle T\rangle$ and $\langle V\rangle$ for these states and find out if they sum well as expected