The Pauli Spin Algebra, Related Clifford Algebra Representation, and Derivation of the Dirac Hamiltonian Operator

I present a novel approach to derivation of the Dirac Hamiltonian operator on the secondly quantized Fock space, based on the the Pauli spin \(\text{su}{(2)}\) - algebra and its Clifford algebra representation. The relativistic Lorentz invariance of the related Schrödinger equation is stated as a natural consequence of its operator structure.