Derivation from Majorana–Bloch equation to von Neumann equation: extension to higher angular momentum in coherent states

After recognizing that Majorana first formulated what later became known as the Bloch equation fourteen years before Felix Bloch, we propose the name Majorana–Bloch equation. Building on our previous work for spin-½, we have extended the derivation of time evolution from the Majorana–Bloch equation through the von Neumann equation to systems of arbitrary angular momentum in pure coherent states. By exploiting the polynomial form of the coherent-state projector, we establish a one-to-one correspondence between classical and quantum dynamics on the coherent-state manifold. Taking expectation values in coherent states also recovers the classical equation through the Ehrenfest theorem.