# Homework Help: Superposition of two wavefunctions

1. Mar 4, 2012

### Leb

[SOLVED] Superposition of two wavefunctions

1. The problem statement, all variables and given/known data
The problem is more of complex number arithmetic more then conceptual :

2. Relevant equations

$|\psi|^{2}=\psi\psi^{*}$

3. The attempt at a solution

I simply used the equation given above, but instead of getting 2Re{...} I get :

$|\psi_{1}||\psi_{2}| \left( c_{1}c_{2}^{*}\exp({i(\alpha_{1}-\alpha_{2})})+c_{1}^{*}c_{2}\exp({-i(\alpha_{1}-\alpha_{2})})\right)$

Could someone explain how is this equal to that given in the notes I attached ?

Last edited: Mar 4, 2012
2. Mar 4, 2012

### spf

http://en.wikipedia.org/wiki/Complex_number#Conjugation

3. Mar 4, 2012

### Leb

Great, thanks !

4. Mar 4, 2012