ψ(x,t) = Ae^(-λ|x|)e^(-iωt)
This is a rather long problem so I won't get into the details. I understand how to normalize, and most of the rest of the problem. I also have the solutions manual. I just need an explanation of why this goes to Ae^(-2λ|x|). I can't figure it out.
I can't think of any that make sense to use.
The Attempt at a Solution
I believe it is because you can add the powers of exponentials, such that e^(x)e^(x) = e^(2x). I do not understand how you can just get rid of the imaginary, angular frequency, or time parts...
Any explanation would be great.