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Incompatibility of standard completeness and quantum mechanics

Held, Carsten (2012) Incompatibility of standard completeness and quantum mechanics. [Preprint]

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The completeness of quantum mechanics (QM) is generally interpreted to be or entail the following conditional statement (called standard completeness (SC)): If a QM system S is in a pure non-eigenstate of observable A, then S does not have value ak of A at t (where ak is any eigenvalue of A). QM itself can be assumed to contain two elements: (i) a formula generating probabilities; (ii) Hamiltonians that can be time-dependent due to a time-dependent external potential. It is shown that, given (i) and (ii), QM and SC are incompatible. Hence, SC is not the appropriate interpretation of the completeness of QM.

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Item Type: Preprint
Keywords: Quantum mechanics, completeness, trace formula
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Carsten Held
Date Deposited: 06 Apr 2012 12:12
Last Modified: 06 Apr 2012 12:12
Item ID: 9080

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