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ON THE JAYNES-CUMMINGS HAMILTONIAN SUPERSYMMETRIC CHARACTERISTICS
We study some degeneracies of the Jaynes-Cummings Hamiltonian eigenstates. More precisely, we underscore operators connecting the degenerated eigenstates or explaining their non-degeneracy. These operators actually are supercharges and the supersymmetry underlying the Jaynes-Cummings model is thus exhibited. We also consider two extensions of the Hamiltonian to show the unicity of their supercharges.
11991 Math.Subj.Classif.: 81V80, 81Q60, 20C35
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A propos de : Christine Geron
Theoretical and Mathematical Physics, Institute of Physics (B5), University of Liège, B-4000 LIEGE 1 (Belgium), Christine.Geron@ulg.ac.be