# Homework Help: Normalize Quantum Mechanical Wavefunction

1. Sep 22, 2008

### mju4t

1. The problem statement, all variables and given/known data
A Quantum mechanical particle is defined by the following wave functions:
$$\Psi$$(x) = Aeax for x<0
$$\Psi$$(x) = Ae-2ax for X>0

where A and a are both real, positive constants.

Normalize the wavefunction, i.e. determine an expression for A in terms of a.

2. Relevant equations

3. The attempt at a solution

I think to normalize it you have to integrate from the limits and set it equal to 1. However, I'm not sure if you have to do it piecewise, like from -inf to 0 and then again from 0 to inf...
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Sep 22, 2008

### yaychemistry

Hello mju4t
You've got it right, you have to integrate it piecewise. That's how the function is defined.
Good luck.