# Probability of finding the particle

1. Feb 13, 2012

### tebes

1. The problem statement, all variables and given/known data
The state of a free particle is described by the following wave function.
phi(x) = 0 for x>-3a
=c for -3a<x<a
=0 for x>a
a) Determine the constant c using the normalization condition.
b) Find the probability of finding the particle in the interval [0,a]

2. Relevant equations
for a , ∫ lphi(x)l ^ 2 dx = 1 (ranging from -∞ to ∞)
Therefore, I would say c=1 . Am I correct ?

for b , i know that I need to use this ∫ lphi(x)l ^ 2 dx to find the probability, but I don't the know the equation. Can I use the ψ(x) = (2/L)^1/2 sin n∏x/ L as the equation ?

3. The attempt at a solution