Newton-Wigner position operator and its corresponding spin operator in relativistic quantum mechanics
Quantum Physics
2014-12-02 v1 High Energy Physics - Theory
Abstract
A relativistic spin operator is to be the difference between the total and orbital angular momentum. As the unique position operator for a localized state, the remarkable Newton-Wigner position operator, which has all desirable commutation relations as a position operator, can give a proper spin operator. Historically important three spin operators respectively proposed by Bogolubov et al., Pryce, and Foldy-Woutheysen are investigated to manifest a corresponding spin operator to the Newton-Wigner position operator. We clarify a unique spin operator in relativistic quantum mechanics described by the Dirac Hamiltonian.
Keywords
Cite
@article{arxiv.1412.0351,
title = {Newton-Wigner position operator and its corresponding spin operator in relativistic quantum mechanics},
author = {Taeseung Choi},
journal= {arXiv preprint arXiv:1412.0351},
year = {2014}
}