- #1

Niles

- 1,866

- 0

## Homework Statement

Hi all.

I am commuting the Hamiltonian (H = p

^{2}/(2m) + V(x)) with position. This is what I get:

[tex]

[H,x] = -\frac{i\hbar}{m}p,

[/tex]

where p is the momentum operator. But here's my question: The momentum-operator contains d/dx, so does this mean that the commutator is zero, or do I leave it as I have derived it above?

Because my trouble is that I have to take the expectation value of the above commutator, and how does it make sense to take the expectation value of an operator?

I hope you can shed some light on this. Thanks in advance.Niles.

Last edited: