  The wavefunction of a single spin system in a prepared initial state evolves
to equilibrium with a heat bath. The average spin $$q(t) = p_{\uparrow}(t) -
p_{\downarrow}(t)$$ exhibits a characteristic time for this evolution. With the
proper choice of spin flip rates, a dynamical Ising model (Glauber) can be
constructed with the same characteristic time for transition of the average
spin to equilibrium. The Glauber dynamics are expressed as a Markoff process
that possesses many of the same physical characteristics as its quantum
mechanical counterpart. In addition, since the classical trajectories are those
of an ergodic process (the time averages of a single trajectory are equivalent
to the ensemble averages), the surfaces of constant temperature, in terms of
the model parameters, may be derived for the single spin system.
