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Duffin-Kemmer-Petiau particles are bosons

Published 19 Jun 2023 in quant-ph | (2306.11757v1)

Abstract: The parametrized Duffin-Kemmer-Petiau wave equation is formulated here for many relativistic particles of spin-0 or spin-1. The conventional second-quantized or Fock-space proof of the spin-statistics connection requires that the fields of creation and annihilation operators satisfy commutation relations subject to causality conditions. The conditions restrict entanglement to spacelike separations of the order of the Compton wavelength $\hbar/mc$. Relativistic quantum mechanics is used here to prove the symmetry of the wavefunctions for identical particles, following the nonrelativistic argument of Jabs (Found. Phys. 2010, v40, 776--792). First quantization does not require causal commutation relations, and so entanglement is unrestricted.

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