What does it mean, physically, to "constantly measure" a quantum system?
good question.. probably easiest with an example. Suppose you know precisely the location of a particle by shining light on it. As time goes on, in general, you will get a probability distribution for its location. However, if you keep shining the light on it it will stay still
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I'd say the meaning of "keep shining light on it" depends on the strength of particle-light coupling. The stronger the fouling the shorter the time needed to cause a change in the state of the particle relative to the state of photons. There is, after all, no sudden change.
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like i said it was a heuristic example. If you want a precise definition, it just means to keep the particle in a position eigenstate.
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