Position and spin in relativistic quantum mechanics
- URL: http://arxiv.org/abs/2003.06572v2
- Date: Wed, 15 Apr 2020 17:25:33 GMT
- Title: Position and spin in relativistic quantum mechanics
- Authors: Liping Zou, Pengming Zhang and Alexander J. Silenko
- Abstract summary: The position and spin operators in the Foldy-Wouthuysen representation are quantum-mechanical counterparts of the classical position and spin variables.
The spin-orbit interaction does not exist for a free particle if the conventional operators of the orbital angular momentum and the rest-frame spin are used.
- Score: 68.8204255655161
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The problem of the position and spin in relativistic quantum mechanics is
analyzed in detail. It is definitively shown that the position and spin
operators in the Foldy-Wouthuysen representation (but not in the Dirac one) are
quantum-mechanical counterparts of the classical position and spin variables.
The probabilistic interpretation is valid only for Foldy-Wouthuysen wave
functions. The relativistic spin operators are discussed. The spin-orbit
interaction does not exist for a free particle if the conventional operators of
the orbital angular momentum and the rest-frame spin are used. Alternative
definitions of the orbital angular momentum and the spin are based on
noncommutative geometry, do not satisfy standard commutation relations, and can
allow the spin-orbit interaction.
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