Abstract
Using the path integral formalism in the coherent states representation and the methods of supersymmetric quantum mechanics, we derive the propagator for the non-resonant supersymmetric generalization of the Jaynes–Cummings model. The propagator, the energy spectrum, the wave functions and the atomic inversion factor are calculated for arbitrary supersymmetric partner potentials. The results obtained are illustrated by the treatment of particular systems with unbroken and broken supersymmetry.
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