![]() ![]() ![]() These are the uncertainties for energy eigenstates, and there's no reason to expect that a particle will be in an eigenstate (which would then make the computation more complicated). You can't really see what the uncertainties will be by inspection, by the geometry of the problem. The product of the variances is then $\sigma_x^2 \sigma_k^2 = (n^2 \pi^2/12 - 1/2)$. If a beam of particles in localised in the $x$-direction by a long slit, what is the uncertainty in position?įirstly, I believe that uncertainty is equivalent to the standard deviation in this case, as I have seen the equation is written $\sigma_x \sigma_p \ge \frac$$ ![]() I've the following application of Heisenberg's uncertainty principle. ![]()
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