Expected value of momentum P in terms of k

[Kyuubi]

Homework Statement

Just need to clarify this point.

Relevant Equations

$$ \langle p \rangle = \int_{-\infty}^{\infty}\bar{\phi}(p,t) p \phi(p,t)dp $$

Now if I'm given a $\phi(k)$, and I'm asked to find $\langle p \rangle$, $\langle p^2 \rangle$, etc. Am I justified to say that $\langle p \rangle = \hbar \langle k \rangle$ and that $\langle p^2 \rangle = \hbar^2 \langle k^2 \rangle$ ?

 

[kuruman]

Homework Statement: Just need to clarify this point.
Relevant Equations: $$ \langle p \rangle = \int_{-\infty}^{\infty}\bar{\phi}(p,t) p \phi(p,t)dp $$

Now if I'm given a $\phi(k)$, and I'm asked to find $\langle p \rangle$, $\langle p^2 \rangle$, etc. Am I justified to say that $\langle p \rangle = \hbar \langle k \rangle$ and that $\langle p^2 \rangle = \hbar^2 \langle k^2 \rangle$ ?

Yes.