2007/03/31 by A. Matzkin, A Matzkin
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.1088/1751-8113/41/8/085303
published as J. Phys. A: Math. Theor. 41, 085303, 2008. · v3: Extended version. To be published in J. Phys. A
arxiv created 2008/01/18 · openalex publication_date 2008/02/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We investigate two-particle phase-space distributions in classical mechanics constructed to be the analogs of quantum-mechanical angular-momentum eigenstates. We obtain the phase-space averages of specific observables related to the projection of the particles' angular momentum along axes with different orientations, and show that the ensuing correlation function violates Bell's inequality. The key to the violation resides in choosing observables impeding the realization of the joint measurements whose existence is required in the derivation of the inequalities. This situation can have statistical (detection related) or dynamical (interaction related) underpinnings, but non-locality does not play any role.