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Apr 9, 2013 at 11:44 comment added Emilio Pisanty No. To know the wavelength exactly you need an infinite wavepacket, so $\sigma_x=\infty$, which is consistent with $\sigma_p\sigma_x\gtrsim\text{const}$. (In real situations, of course, you have $\sigma_p$ very small and $\sigma_x$ very large, subject to that condition.)
Apr 8, 2013 at 23:32 vote accept neddo
Apr 8, 2013 at 23:31 comment added neddo Thanks! One question, however: since you said it's possible to know the exact wavelength (hypothetically), wouldn't the uncertainty principle than be broken because $\sigma_p$ would be 0? Or does this not break uncertainty because it is only possible in theory to calculate the wavelength exactly?
Apr 8, 2013 at 23:06 history answered Emilio Pisanty CC BY-SA 3.0