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Dirac's oscillator (DO) is one of the most studied systems in theRelativistic Quantum Mechanics and in the physical-mathematics. In particular,we show that this system has an unique property which it has not ever seen inother known systems: According to its spatial dimensionality, DO representphysical systems with very different electromagnetic nature. So far in theliterature, it has been proved using the covariant method the gauge invarianceof the Dirac's oscillator potential. It has also shown that in (3+1)dimensionsthe DO represents a relativistic and electrically neutral fermion with magneticdipole momentum, into a dielectric medium with spherical symmetry and under theeffect of an electric field which depends of the radial distance. In thiswork,and using the same methodology, we show that (2+1) dimensional DOrepresents a 1/2-spin relativistic fermion under the effect of a uniform andperpendicular external magnetic field; whereas in (1+1) dimensions DOreproduces a relativistic and electrically charged fermion interacting with alinear electric field. Additionally, we prove that DO does not have chiralinvariance, independent of its dimensionality, due to the interaction potentialwhich breaks explicitly the chiral symmetry $U(1)_R \times U(1)_L$ but itpreserves the global gauge symmetry $U(1)$.

Different electromagnetic physical representations of the Dirac's oscillator according with its spatial dimension