- #1
mel11
- 1
- 0
Hi,
I've been thinking about the following:
In an infinitely deep box a particle's energy operator can be written as E = p^2/2m, and the momentum operator as p = -i hbar dx. (particle moves in x direction)
I can see that the commutator of E and p is 0, so the operators commute, and should have a common set of eigenfunctions. But e.g. A sin(kx) with some A and k is an eigenfunction of E but not of p. I don't get where I'm going wrong.
Thanks for any answers!
I've been thinking about the following:
In an infinitely deep box a particle's energy operator can be written as E = p^2/2m, and the momentum operator as p = -i hbar dx. (particle moves in x direction)
I can see that the commutator of E and p is 0, so the operators commute, and should have a common set of eigenfunctions. But e.g. A sin(kx) with some A and k is an eigenfunction of E but not of p. I don't get where I'm going wrong.
Thanks for any answers!