I've recently been wondering about the notion of measurement in quantum mechanics. While I'm aware that understanding and precisely defining the concept of a quantum mechanical measurement is at the heart of interpreting the subject, I would like some feedback on some aspects of this topic I find confusing, ambiguous, or both.(adsbygoogle = window.adsbygoogle || []).push({});

My questions are:

Can the particular variable being measured in an experiment at times be ambiguous? For example, suppose I am able to make some measurement of the energy of a particle by having it collide with a small sensor of some kind. Could I also view the particle's collision with the small sensor as a measurement of its position? If yes, does this imply the hamiltonian of the particular experimental setup we're considering commutes with the position operator?

My next question pertains to imprecise measurements and wavefunction collapse. Suppose I measure the position of a particle to be within some small error. Does the wavefunction collapse to some eigenvector of position within that same error, collapse to an eigenvector of another operator, or not collapse at all in this case?

My last question is a bit strange but I would like to hear your opinions nonetheless. I was wondering if one's conscious perception of the world could be viewed as one illustrious slew of quantum measurements. Are the particles making up all the matter and fields in my immediate vicinity constantly being forced into eigenstates as a result of my conscious perception, or is a more formal and precise definition of measurement required for collapse?

Thanks

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# I General Questions Related to Quantum Measurement

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