Normalization and probability The movement of a particle in one... | Filo

SOLVED: The wave function of a particle moving in one dimension is given by ψ for x < 0 and ψ = A√(x) exp (-ax) for x ≥ 0 where A is a positive constant. 1. Find the normalization constant A. 2. Determine and sketch the probability density for finding the particle along the x-axis. 3. Calculate the average position of the particle on the x-axis and compare it to the most likely position. Hint: you might need to remember that ∫ |ψ|^2 dx = 1.