- #1
Liquidmoose
- 2
- 0
A Wave packet is described by
[tex]\Psi[/tex](x)= sin [tex]\frac{kx}{x}[/tex]
Make reasonable estimates of the uncertainty in position and wavevector and show that this function obeys the uncertainty priciple
[tex]\Delta[/tex]x[tex]\Delta[/tex]k>1
solutionish...
sin [tex]\frac{kx}{x}[/tex] = sin ([tex]\pm[/tex][tex]\Delta[/tex]x[tex]\Delta[/tex]k) = 0
hence [tex]\Delta[/tex]x must = some interger of [tex]\pi[/tex]...?
this is about where i get lost don't know if I'm going in the right direction!?
[tex]\Psi[/tex](x)= sin [tex]\frac{kx}{x}[/tex]
Make reasonable estimates of the uncertainty in position and wavevector and show that this function obeys the uncertainty priciple
[tex]\Delta[/tex]x[tex]\Delta[/tex]k>1
solutionish...
sin [tex]\frac{kx}{x}[/tex] = sin ([tex]\pm[/tex][tex]\Delta[/tex]x[tex]\Delta[/tex]k) = 0
hence [tex]\Delta[/tex]x must = some interger of [tex]\pi[/tex]...?
this is about where i get lost don't know if I'm going in the right direction!?