Sensitive observables of quantum mechanics
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We prove that there are quantum mechanical observables which are sensitive to the type of state-vector (first type or second type) describing two correlated physical systems, in the sense that the expectation value of these ‘sensitive observables’ is measurably different in the two cases. The proof centers around Bell's inequality since we show that in quantum mechanics forall state-vectors of the second type (and only for them) sensitive observables exist in the absence of super-selection rules. Experimental verification of the existence of sensitive observables rules out local hidden variables.
KeywordsField Theory Elementary Particle Quantum Field Theory Quantum Mechanic Physical System
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