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Order h̄ Corrections to the Classical Dynamics of a Particle with Intrinsic Spin Moving in a Constant Magnetic Field

O(¯ h) effects that modify the classical orbit of a charged particle are described for the case of a classical spin-1 2 particle moving in a constant magnetic field, using a manifestly covariant formalism reported previously. It is found that the coupling between the momentum and spin gives rise to a shift in the cyclotron frequency, which is explicitly calculated. In addition the orbit is found to exhibit O(¯ h) oscillations along the axis of the uniform static magnetic field whenever the gyromagnetic ratio g of the particle is not 2. This oscillation is found to occur at a frequency ∝ g 2 −1, and is an observable source of electric dipole radiation.