Quantum Mechanics - Time dependent solution - x's and t's not mixed up

[laser]

Homework Statement

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Relevant Equations

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Next, we assume a solution in this form:

Which simplifies (according to my notes) to this:

In the middle equation, we have factorised out the F(t). My question is why is it wavefunction(x,t) rather than wavefunction(x). I first thought it was a mistake in the notes, but it uses the same equation later on.

Edit: And F(t) on the rightmost equation.

 

[DrClaude]

Probably just a typo. It should be $\psi(x)$. Also, $F(t)$ is missing in the last term on the right in the last equation.

 

[laser]

Probably just a typo. It should be $\psi(x)$. Also, $F(t)$ is missing in the last term on the right in the last equation.

Cheers - yeah I forgot to mention that here but you're right