  The de Broglie-Bohm causal theory of quantum mechanics is applied to the
hydrogen atom in the fully spin-dependent and relativistic framework of the
Dirac equation, and in the nonrelativistic but spin-dependent framework of the
Pauli equation. Eigenstates are chosen which are simultaneous eigenstates of
the energy H, total angular momentum M, and z component of the total angular
momentum M_z. We find the trajectories of the electron, and show that in these
eigenstates, motion is circular about the z-axis, with constant angular
velocity. We compute the rates of revolution for the ground (n=1) state and the
n=2 states, and show that there is agreement in the relevant cases between the
Dirac and Pauli results, and with earlier results on the Schrodinger equation.
