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Equivalence principle and quantum statistics
Majumdar A.S.1, Mousavi S.V.2, Home D.3
1 S. N. Bose National Center for Basic Sciences, Block JD, Sector III, Salt Lake, Kolkata, India;
2 Department of Physics, The University of Qom, Qom, Iran;
3 CAPSS, Department of Physics, Bose Institute, Sector-V, Salt Lake, Kolkata, India
E-mail: Majumdar archan@bose.res.in
Violation of the gravitational weak equivalence principle in quantum mechanics (WEQ) has been earlier studied using Gaussian as well as non-Gaussian wave packets in free fall. Here we study the effect of quantum statistics on the arrival time distribution of quantum particles computed through the probability current density. We show that symmetrization or asymmetrization of the wave function impacts the arrival time distribution of wavepackets. The mean arrival time is dependent on the mass of the particles, and varies according to the statistics.
Keywords: Weak equivalence principle, Quantum statistics, Arrival time distribution, Spin.
DOI: 10.18698/2309-7604-2015-1-359-364
Article file: Majumdar1.pdf
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