Quantum Mechanics: 1D Parabolic Potential Wave Function

[dcuk86]

Hi, I'm currently working through some exam papers from previous years before an upcoming module in Quantum Mechanics.
I'm a little stumped with this one, I'm assuming that I'm looking at a 1D harmonic Oscillator and the wording of the question suggests that the wave function just needs to be stated and not actually proven (?).
In your opinion is this question looking for the wavefunction for n=1 or a general wavefunction in terms of n? its mostly the time dependence which has thrown me.

 

[dcuk86]

apologies, I'm fairly new to this forum, I think I should have posted this in the homework section?

 

[Nemanja989]

Well, you have to write down a linear combination of eigenfunctions for a case n=0 and n=1, and then multiply it by a time factor. And then do a probability problem.

That is how I would do it.

 

[dcuk86]

thanks for that, I'll give it a go and let you know how I get on