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Ivan Seeking

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So first is this correct: In principle, we can calculate a non-zero probability that for any atom having a reasonably well defined position, a chance still exists of finding this atom at some distant location; e.g. 1:10^50 of finding the atom 1 KM away from the classical position.

If this is true, can we estimate the real probability for such events for atoms found in gases and solids? For example, is there any way to estimate the chances that a carbon atom in my desk exists at the moon for a moment?