  The 2+1 Dirac-Moshinsky oscillator ( 2+1 DMO ) is mapped into the generalized
Jaynes-Cummings model (GJCM), in which an external magnetic field is coupled to
an external isospin field. The basic equations of model are analytically
solved, where the coherent state is considered as an initial state. The
obtained results show that the strength of the magnetic field and the coupling
parameter of the isospin field play important roles on some statistical
properties such as entanglement, population inversion and degree of coherence.
It has been shown that these parameters play a rule to increase entanglement
and show the collapses and revivals phenomenon.
