Spin operator and spin states in Galilean covariant Fermi field theories

Details Spin operator and spin states in Galilean covariant Fermi field theories Spin operator and spin states in Galilean covariant Fermi field theories

2011-09-22

arxiv.org/abs/1109.4899v3

Phys. Rev. D84, 125025 (2011)

Physics

Mathematical Physics

Minor corrections in the text; journal version

Scientific paper

Spin degrees of freedom of the Galilean covariant Dirac field in (4+1) dimensions and its nonrelativistic counterpart in (3+1) dimensions are examined. Two standard choices of spin operator, the Galilean covariant and Dirac spin operators, are considered. It is shown that the Dirac spin of the Galilean covariant Dirac field in (4+1) dimensions is not conserved, and the role of non-Galilean boosts in its nonconservation is stressed out. After reduction to (3+1) dimensions the Dirac field turns into a nonrelativistic Fermi field with a conserved Dirac spin. A generalized form of the Levy-Leblond equations for the Fermi field is given. One-particle spin states are constructed. A particle-antiparticle system is discussed.

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