[en] In this note we show how to apply the methods of an earlier paper (1978) in order to have the stochastic mechanics of a charged spinning particle interacting with a given electromagnetic field. We describe the inner degrees of freedom of the particle through the Su(2) group, this gives immediately a decomposition of the Schroedinger equation, arising in this particular case, into a family of Pauli-type equations for each spin. The interaction with the electromagnetic field is unable to change the spin of the particle, according with usual physical interpretation. Our formalism can represent the basis for a natural and rigorous introduction of Feynman-Kac path integrals for spinning particles (even for half-integer spins). (HSI/orig.)

[en] The paper contains the general formulation of Nelson's stochastic mechanics on Riemannian manifolds, with special enphasis on the concept of geodesic correction to stochastic parallel displacement. The resulting Schroedinger equation does not involve terms containing the curvature tensor