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I have a couple of question regarding wave function collapse.

I can accept that one cannot make a measurement with absolute precision and have a usable wave function afterwards due to the uncertainty principle...

Consider a particle moving along the x-axis with a wave function that has the probability-distribution of a moving gaussian curve. After some time, the wave function has become so smeared out that and has a so big std. dev. that it is not practical to work with it anymore.

1: Is there some operator or some maneuver that when used on the wave function, reshapes it into a wave function with a smaller standard deviance, but with a different mean(chosen probabilisticly) than the original? (Measuring the the particle, but accepting/forcing some uncertainty in the measurement)

2: If not: How do you think of an actual real physical measurement of a particle?

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# Measurements and wavefunction collapse.

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