Abstract
The asymptotic ($h\ensuremath{\rightarrow}0$) limit of Dirac's single-electron theory is discussed with the magnetic field strength formally regarded as a quantity of order $\frac{1}{h}$. The main new result is that the phase function for the asymptotic series is to be calculated from the relativistic Hamilton-Jacobi equation with the orientation energy of the magnetic moment added to the electron's rest mass. This is the mechanism by means of which Hamilton's equations contain the Stern-Gerlach force when the phase function is interpreted as a classical generating function. An attempt is made to clarify the physical significance of this result.
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