(adsbygoogle = window.adsbygoogle || []).push({}); 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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Probability of finding the particle

Can you offer guidance or do you also need help?

**Physics Forums | Science Articles, Homework Help, Discussion**