Weak Value, Quasiprobability and Bohmian Mechanics

被引：0
作者：
Kazuki Fukuda
Jaeha Lee
Izumi Tsutsui
机构：
[1] High Energy Accelerator Research Organization (KEK),Theory Center, Institute of Particle and Nuclear Studies
[2] The Graduate University for Advanced Studies (SOKENDAI),School of High Energy Accelerator Science
[3] University of Tokyo,Department of Physics
来源：
Foundations of Physics | 2017年 / 47卷
关键词：
Weak value; Quasiprobability; Bohmian mechanics; Ontological models;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：236 / 255
页数：19
相关论文
共 54 条
[1]  
Mermin D(2014)Physics: QBism puts the scientist back into science Nature 507 421-10
[2]  
Aharonov Y(1988)How the result of a measurement of a component of the spin of a spin-1/2 particle can turn out to be 100 Phys. Rev. Lett. 60 1351-45
[3]  
Albert DZ(2014)Colloquium: understanding quantum weak values: basics and applications Rev. Mod. Phys. 86 307-556
[4]  
Vaidman L(2014)Observation of a quantum Cheshire Cat in a matter-wave interferometer experiment Nat. Commun. 1 5-undefined
[5]  
Dressel J(2014)Observing diracs classical phase space analog to the quantum state Phys. Rev. Lett. 112 070405-undefined
[6]  
Malik M(1952)A suggested interpretation of the quantum theory in terms of hidden variables I. Phys. Rev. 85 166-undefined
[7]  
Miatto FM(1952)A suggested interpretation of the quantum theory in terms of hidden variables I. Phys. Rev. 85 180-undefined
[8]  
Jordan AN(1957)Measures on the closed subspaces of a Hilbert space J. Math. Mech. 6 885-undefined
[9]  
Boyd RW(1933)Quantum statistics of almost classical assemblies Phys. Rev. 44 31-undefined
[10]  
Denkmayr T(1945)On the analogy between classical and quantum mechanics Rev. Mod. Phys. 17 195-undefined
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