Eigenvectors associated with distinct values of an observable are orthogonal, according to quantum mechanics.(adsbygoogle = window.adsbygoogle || []).push({});

Does this entail that a quantum system cannot continuously evolve from one eigenstate into another, for ANY observable?

At first, that seems strange: it seems like a particle should be able to "travel" in the sense of continuously moving from one eigenstate of position to the next.

Another example: can't a particle "speed up" (i.e. go continuously go from one velocity eigenstate to the next)?

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# Continuous evolution from 1 eigenstate of O to another O-eigenstate?

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