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Weak Value,Quasiprobability and Bohmian Mechanics
Authors:Kazuki Fukuda  Jaeha Lee  Izumi Tsutsui
Institution:1.Theory Center, Institute of Particle and Nuclear Studies,High Energy Accelerator Research Organization (KEK),Tsukuba,Japan;2.School of High Energy Accelerator Science,The Graduate University for Advanced Studies (SOKENDAI),Tsukuba,Japan;3.Department of Physics,University of Tokyo,Tokyo,Japan
Abstract:We clarify the significance of quasiprobability (QP) in quantum mechanics that is relevant in describing physical quantities associated with a transition process. Our basic quantity is Aharonov’s weak value, from which the QP can be defined up to a certain ambiguity parameterized by a complex number. Unlike the conventional probability, the QP allows us to treat two noncommuting observables consistently, and this is utilized to embed the QP in Bohmian mechanics such that its equivalence to quantum mechanics becomes more transparent. We also show that, with the help of the QP, Bohmian mechanics can be recognized as an ontological model with a certain type of contextuality.
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