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A Path Integral Generalization of Bell Local Hidden Variable Models for Unstable Particles 被引量:2

A Path Integral Generalization of Bell Local Hidden Variable Models for Unstable Particles
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摘要 We discuss the problem of the generalization of Bell local hidden variable models for unstable particles as nucleons or decaying quantum bound states. We propose to extend the formalism of real deterministic hidden variables in the complex domain, in analogy with the quantum Gamow ket formalism, and we introduce a time dependent classical probability density distribution by which we implement hidden time dependence in the quantum expectation values. We suggest therefore a classical framework which may recover by asymptotic temporal limits the standard Bell stationary quantum statistical averages. Endly we discuss the possible relevance of our proposal for general non-isolated quantum systems in noninertial frames and the consequent dynamic effects of vacuum instabilities on E.P.R tests and Q.M. ensemble statistical averages. We discuss the problem of the generalization of Bell local hidden variable models for unstable particles as nucleons or decaying quantum bound states. We propose to extend the formalism of real deterministic hidden variables in the complex domain, in analogy with the quantum Gamow ket formalism, and we introduce a time dependent classical probability density distribution by which we implement hidden time dependence in the quantum expectation values. We suggest therefore a classical framework which may recover by asymptotic temporal limits the standard Bell stationary quantum statistical averages. Endly we discuss the possible relevance of our proposal for general non-isolated quantum systems in noninertial frames and the consequent dynamic effects of vacuum instabilities on E.P.R tests and Q.M. ensemble statistical averages.
作者 Gianpaolo Bei Gianpaolo Bei(I.I.S.S. Charles Darwin, Rome, Italy)
出处 《Journal of Applied Mathematics and Physics》 2021年第10期2430-2438,共9页 应用数学与应用物理(英文)
关键词 Entangled Unstable Particles Complex Hidden Variables Path Dependent Expectation Values Time Dependent Bell Inequalities Entangled Unstable Particles Complex Hidden Variables Path Dependent Expectation Values Time Dependent Bell Inequalities
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