- #1
ConorB
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Homework Statement
This is not a problem as such. Just a derivation for which I've been given a solution which I cannot seem to find.
Homework Equations
Ke = 1/2 mv2 = ρ2/2m
hbar << 2ΔxΔp
Δp≈p as the average magnitude of p is small.
The Attempt at a Solution
p >> hbar/2Δx
p2 = hbar2/4(Δx)2
so p2/2m=ke=hbar2/8(Δx2)m
whereas I've been given the result that T=h2/2m(Δx2)