Normalize Quantum Mechanical Wavefunction

[mju4t]

Homework Statement

A Quantum mechanical particle is defined by the following wave functions:
$$\Psi$$(x) = Ae^ax 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.

Homework Equations

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...

 

[yaychemistry]

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