Generalized Jaynes–Cummings Hamiltonians by shape-invariant hierarchies and their SUSY partners
Véronique Hussin, Ş. Kuru, J. Negro
A generalization of the matrix Jaynes–Cummings model in the rotating wave approximation is proposed by means of the shape-invariant hierarchies of scalar factorized Hamiltonians. A class of Darboux transformations (sometimes called SUSY transformations in this context) suitable for these generalized Jaynes–Cummings models is constructed. Finally one example is worked out using the methods developed.
Journal of Physics A Mathematical and General•Aug 18, 2006•6 citations