- #1
iScience
- 466
- 5
Plane wave equation:
$$\psi(t) = \psi_0e^{i(\vec{k}\cdot\vec{r}-\omega t)}$$
The part that makes the domain of [itex]\psi(t_i)[/itex] a plane is the k dot r part.
I'm reading a book that takes this term and imposes the following condition:
$$\vec{k}\cdot\vec{r}=Const.$$
which, i understand its necessity, but if we just plug in the LHS of the equation, the information on the RHS is lost no? i mean, we didn't use it; we just got rid of it. Can someone clarify this part for me please.
$$\psi(t) = \psi_0e^{i(\vec{k}\cdot\vec{r}-\omega t)}$$
The part that makes the domain of [itex]\psi(t_i)[/itex] a plane is the k dot r part.
I'm reading a book that takes this term and imposes the following condition:
$$\vec{k}\cdot\vec{r}=Const.$$
which, i understand its necessity, but if we just plug in the LHS of the equation, the information on the RHS is lost no? i mean, we didn't use it; we just got rid of it. Can someone clarify this part for me please.