Please use this identifier to cite or link to this item:
https://repositorio.ufba.br/handle/ri/12589
metadata.dc.type: | Artigo de Periódico |
Title: | A spin Hamiltonian for non-relativistic electrons and their interaction with an external field |
Other Titles: | Journal of Physics A: Mathematical and Theoretical |
Authors: | Santos, E. S. Montigny, M. de Melo, Genilson Ribeiro de Rivelino, Roberto |
metadata.dc.creator: | Santos, E. S. Montigny, M. de Melo, Genilson Ribeiro de Rivelino, Roberto |
Abstract: | We 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. |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/12589 |
Issue Date: | 2010 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
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