\\(\\psi = \\sqrt{2/L}sin(n\\pi x/L)\\) \\(\\Delta o = \\sqrt{(ohat^{2})-(ohat)^
ID: 2136775 • Letter: #
Question
(psi = sqrt{2/L}sin(npi x/L)) (Delta o = sqrt{(ohat^{2})-(ohat)^{2}{}}) (sigma^{2}_{p} = (p^{2})-(p)^{2} and sigma^{2}_{x} = (x^{2})-(x)^{2}) a) The particle-in-a-box wavefunction is shown to the right. Calculat ethe uncertainity in x and the uncertainty in p, where the uncertainty in a given observable is calculated from the equation above with sigma and momentum operators.
where (o-hat^2) is the expectation value of the square of the operator and (o-hat)^2 is the square of the expectarrtion value of the operator.
b) from the answer show that the uncertainties in x and p follow the heisenberg uncertainty principle: which is is delta(p)delta(x) is greater than or equal to h-bar over 2
Explanation / Answer
Check out my material here for full extended solution.
https://dl.dropboxusercontent.com/u/110478262/Chegg/SEandParticleBox.pdf
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