- #1
leroyjenkens
- 616
- 49
Homework Statement
ψ(x,t) = Ae-λxe-iwt
Normalize this and solve for A
Homework Equations
[tex]\int_{-∞}^{∞}|ψ|2dx = 1
The Attempt at a Solution
I got to A2[itex]\int_{-∞}^{∞}e^{-2λx}dx[/itex]
The solution manual multiplies it by 2 and only goes from 0 to ∞ instead of from -∞ to ∞. I'm trying to do it from -∞ to ∞ and I should get the same answer as the manual, but I'm not. They get a finite non-zero answer, but integrating what I got to, I have [itex]-\frac{A^{2}}{2λ}e^{-2λx}[/itex] and now, plugging in the limits of integration in for x, it will give me infinity as the answer.
Anyone see where I made a mistake? Thanks.