# Normalization of a Wave Function

by r16
Tags: function, normalization, wave
 P: 42 1. The problem statement, all variables and given/known data I'm starting to (trying) teach myself some quantum mechanics out of the Griffiths book, and since there are no answers in the back I have no idea if I'm on the right track or not. Could you guys look over the answer to this equation to see if it looks right? Consider the wave function $$\Psi(x,t) = A e^{-\lambda |x|}e^{-i \omega t}$$ a Normalize $$\Psi$$ 2. Relevant equations $$1 = \int^\infty_{-\infty} | \Psi |^2 dx$$ 3. The attempt at a solution $$|\Psi(x,t)|^2 = (\Psi*)\Psi$$ $$\Psi* = A e^{-\lambda |x|}e^{i \omega t}$$ $$|\Psi(x,t)|^2 = A^2e^{-2 \lambda |x|}$$ $$1 = \int^\infty_{-\infty} A^2e^{-2 \lambda |x|} dx = \frac{A^2}{\lambda}$$ $$A = \sqrt{\lambda}$$ Look correct?