# What is a minimum sized wavepacket

1. Jan 3, 2008

### opous

I've read a few texts where the term "minimum sized wavepacket" is used. Can anyone explain what the "minimum size" refers to in the context of a wavepacket? Thanks.

2. Jan 3, 2008

### pam

They are probably referring to a wave packet for which
[twx]\Delta k\Delta x[/tex] is a minimum. This is a Gaussian wave packet:
$$f(x,t)=N\exp\left[-(x-x_0)^2/a^2\right]\exp[-i(k_0 x-\omega_0 t]$$.

Last edited: Jan 3, 2008
3. Jan 3, 2008

### opous

Ahh, thanks very much Pam - makes sense now!