Axial Momentum and Quantization of the Majorana Field

New approach to quantization of the relativistic Majorana field is presented. It based on expansion into eigenfunctions axial momentum -- a novel observable introduced recently. Relativistic invariance used as main guiding principle instead canonical formalism. Hidden structure quantized in form real Clifford algebra Hermitian fermionic operators unveiled. Generators Poincar\'e transformations Fock space are found solutions certain operator equations, without invoking correspondence with classical conserved quantities. Also parity $\hat{\mbox{P}}$ and time reversal $\hat{\mbox{T}}$ constructed.