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The exact quantum dynamics of a single spin‐1/2 in a generic time‐dependent classical magnetic field are investigated and compared with the quantum motion of a spin‐1/2 studied by Rabi and Schwinger. The possibility of regarding the scenario studied here as a generalization of that considered by Rabi and Schwinger is discussed and the notion of a time‐dependent resonance condition is introduced and carefully legitimated and analyzed. Several examples help to disclose analogies and departures of the quantum motion induced in a generalized Rabi system with respect to that exhibited by the spin‐1/2 in a magnetic field precessing around the  z ‐axis. It is found that, under a generalized resonance condition, the time evolution of the transition probabilityP  +  −    (  t  )between the two eigenstates ofS  ̂    z    may be dominated by a regime of distorted oscillations, or may even exhibit a monotonic behavior. At the same time, the authors succeed in predicting asymptotic behaviors with no oscillations in the time‐dependence ofP  +  −    (  t  )under general conditions. New scenarios of experimental interest originating a Landau–Zener transition are brought to light.

Classes of Exactly Solvable Generalized Semi‐Classical Rabi Systems