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In the present work the Rabi Problem, involving the response of a spin 1/2particle subjected to a magnetic field, is considered in a second quantizedapproach. In this concrete physical scenario, we show that the secondquantization procedure can be applied directly in a non-covariant theory. Theproposed development explicits not only the relation between the full quantumtreatment of the problem and the semiclassical Rabi model, but also theconnection of these approaches with the Jaynes-Cummings model. The consistencyof the method is checked in the semiclassical limit. The treatment is thenextended to the matter component of the Rabi problem so that the Schr\"odingerequation is directly quantized. Considering the spinorial field, the appearanceof a negative energy sector implies a specific identification betweenSchr\"odinger's and Maxwell's theories. The generalized theory is consistent,strictly quantum and non-relativistic.

A second quantized approach to the Rabi problem