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I was solving the time dependent schrodinger equation in a time-independent potential such that E<V and I got the following solution:

ψ = exp(-[itex]\sqrt{k}[/itex]x - (iE/[itex]\bar{h}[/itex])t)

where k > 0 and k = (2m/[itex]\bar{h}[/itex][itex]^{2}[/itex])(V-E)

I was wondering if this was a left travelling wave i.e. whether I could write it as:

ψ = exp(-i ([itex]\sqrt{-k}[/itex]x + (E/[itex]\bar{h}[/itex])t) )

Would this be correct?

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# Can I assume this is a travelling wave?

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