We study the notion of weak value of a quantum observable introduced by Aharonov from the point of view of the Born-Jordan quantization scheme. While both quantizations agree for observables of the type "kinetic energy plus potential" they lead to different weak values for general quantum observables. Weak measurements could thus provide an experimental test for the determination of the correct quantization scheme.
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Research Article| December 18 2012
Weak values and Born-Jordan quantization
Maurice A. de Gosson;
AIP Conf. Proc. 1508, 156–161 (2012)
Maurice A. de Gosson, Luis D. Abreu; Weak values and Born-Jordan quantization. AIP Conf. Proc. 18 December 2012; 1508 (1): 156–161. https://doi.org/10.1063/1.4773127
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