Santos, E. S.Rivelino, R.de Montigny, M.de Melo, G. R. [UNESP]2013-09-302014-05-202013-09-302014-05-202010-08-20Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 43, n. 33, p. 10, 2010.1751-8113http://hdl.handle.net/11449/24235We investigate the spin of the electron in a non-relativistic context by using the Galilean covariant Pauli-Dirac equation. From a non-relativistic Lagrangian density, we find an appropriate Dirac-like Hamiltonian in the momentum representation, which includes the spin operator in the Galilean covariant framework. Within this formalism, we show that the total angular momentum appears as a constant of motion. Additionally, we propose a non-minimal coupling that describes the Galilean interaction between an electron and the electromagnetic field. Thereby, we obtain, in a natural way, the Hamiltonian including all the essential interaction terms for the electron in a general vector field.10engA spin Hamiltonian for non-relativistic electrons and their interaction with an external fieldArtigo10.1088/1751-8113/43/33/335304WOS:000280513200015Acesso restrito