Abstract
Abstract Using the general theory of systems of linear differential equations with periodic coefficients, we derive a complete set of solutions of the equations of motion of a two-level quantum system in interaction with a classical radiation field. The structure of the solutions is investigated and a method of obtaining approximate solutions is discussed. These solutions are compared quantitatively with those in the rotating-wave approximation in dependence of field amplitude, detuning from resonance, time of interaction between two-level system and field, and initial state of the two-level system. In an appendix it is shown that the semiclassical dynamics of a harmonically driven two-level system may be derived from an associated fully quantum-mechanical motion by an asymptotic limit.
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