A new pseudoclassical model is proposed for the description of the rel
ativistic massive Dirac particle. It is P- and T-noninvariant in the c
ase of odd space-time dimensions. The quantization of the model leads
exactly to the corresponding d-dimensional Dirac equation for arbitrar
y d, conserving its P- and T-noninvariance at the quantum level for th
e case of odd d.