# QM: Normalized wavefunctions (1 Viewer)

### Users Who Are Viewing This Thread (Users: 0, Guests: 1)

#### Niles

1. The problem statement, all variables and given/known data
Hi all.

If I have two normalized wavefunctions f and g, will their product fg also be a normalized wavefunction?

Best regards,
Niles.

#### CompuChip

Homework Helper
Nope.
Consider this wavefunction from Wikipedia :)

$$\psi(x, t) = \begin{cases} \frac{1}{\sqrt{L}} \exp\left[ i(kx - \omega t) \right] & \text{ if } 0 \le x \le L \\ 0 & \text{otherwise} \end{cases}$$
(this is actually the wavefunction of a particle in a 1-D box of size L).

Now you can check that $\psi$ is normalized (by the 1/L^(1/2) in front) and take $f = g = \psi$

### The Physics Forums Way

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving