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

AI Thread Summary
The discussion centers on the formulation of a time-dependent solution in quantum mechanics, specifically questioning the notation of the wavefunction as wavefunction(x,t) instead of wavefunction(x). The participant notes that this notation appears consistently throughout the equations, leading to confusion about its correctness. There are mentions of potential typos in the equations, particularly regarding the function F(t) and its absence in certain terms. The conversation highlights the importance of clarity in mathematical notation within quantum mechanics. Overall, the focus is on ensuring accurate representation of functions in the context of wave mechanics.
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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.
 
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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