- #1
jumbogala
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Homework Statement
A particle in an infinite square well has as its initial wavefunction ψ(x,t=0) = (1/√2)[φ1 + φ3].
Find |ψ(x,t)|2. Express it as a sinusoidal function of time using ω= π2*h/(2mL2).
Homework Equations
Note that φn = √(2/L)*sin(nπx/L) for a well of width L.
The Attempt at a Solution
I found something in my book which says that ψ(x,t) = Ʃbn*e-iωntφn.
Therefore, my ψ(x,t) = (1/√2)[e-iω1t)φ1 + e-iω3t)φ3].
Is that right so far?
Then, I can compute |ψ(x,t)|2, but I don't see how that is going to give me an answer in terms of ω. I have ωn though.