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Relativistic corrections to the algebra of position variables and spin-orbital interaction

2016/09/30 by Alexei A. Deriglazov, Andrey M. Pupasov-Maksimov · 1 citation
Physics and Astronomy · Mathematics · #quant-ph #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.1016/j.physletb.2016.08.034

published as Physics Letters B 761 (2016) 207-212 · 8 pages, typos corrected, presentation improved

arxiv created 2016/10/13 · arxiv updated 2016/10/14

Abstract

In the framework of vector model of spin, we discuss the problem of a covariant formalism \citePomeranskii1998 concerning the discrepancy between relativistic and Pauli Hamiltonians. We show how the spin-induced non commutativity of a position accounts the discrepancy on the classical level, without appeal to the Dirac equation and Foldy-Wouthuysen transformation.

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