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

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SUMMARY

The discussion focuses on the time-dependent solution in quantum mechanics, specifically addressing the notation of the wavefunction as wavefunction(x,t) instead of wavefunction(x). Participants clarify that the factorization of F(t) is essential in the equations presented. Typos are noted, particularly the omission of F(t) in the last term of the rightmost equation, which should correctly reference ψ(x). The conversation emphasizes the importance of precise notation in quantum mechanics equations.

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laser
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Homework Statement
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Relevant Equations
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Screenshot_6.png


Next, we assume a solution in this form:
Screenshot_7.png


Which simplifies (according to my notes) to this:
Screenshot_8.png


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.
 
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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.
 
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DrClaude said:
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
 

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