- #1
nadeemo
- 19
- 0
Homework Statement
The analytical expression of [tex]\Delta[/tex]x[tex]\Delta[/tex]p for a particle in a box is:
[tex]\Delta[/tex]x[tex]\Delta[/tex]p = h/2pi[tex]\sqrt{(n\pi)^{2} - 6}[/tex] / [tex]\sqrt{12}[/tex]
for any quantum number, n
Homework Equations
([tex]\Delta[/tex]x)[tex]^{2}[/tex] = <x[tex]^{2}[/tex]> - <x>[tex]^{2}[/tex]
and ([tex]\Delta[/tex]p)[tex]^{2}[/tex] = <p[tex]^{2}[/tex]> - <p>[tex]^{2}[/tex]
[tex]\Psi[/tex] = [tex]\sqrt{2/L}[/tex] sin(nxpi/L)
The Attempt at a Solution
so i tried to find (delta x)^2 and multiplied it with (delta p)^2 and rooted it, but i still have "L" left over in my derivation which doesn't work out...