What Is a Quantum-Mechanical “Weak Value” the Value of? |
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Authors: | Bengt E Y Svensson |
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Institution: | 1. Theoretical High Energy Physics, Department of Astronomy and Theoretical Physics, Lund University, S?lvegatan 14A, 223 62, Lund, Sweden
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Abstract: | A so called “weak value” of an observable in quantum mechanics (QM) may be obtained in a weak measurement + post-selection procedure on the QM system under study. Applied to number operators, it has been invoked in revisiting some QM paradoxes (e.g., the so called Three-Box Paradox and Hardy’s Paradox). This requires the weak value to be interpreted as a bona fide property of the system considered, a par with entities like operator mean values and eigenvalues. I question such an interpretation; it has no support in the basic axioms of quantum mechanics and it leads to unreasonable results in concrete situations. |
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