Bulletin de la Société Royale des Sciences de Liège Bulletin de la Société Royale des Sciences de Liège -  Volume 68 - Année 1999  Numéro 5 - 6 

ON THE JAYNES-CUMMINGS HAMILTONIAN SUPERSYMMETRIC CHARACTERISTICS

Christine Geron, 

Theoretical and Mathematical Physics, Institute of Physics (B5), University of Liège, B-4000 LIEGE 1 (Belgium), Christine.Geron@ulg.ac.be

Abstract

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

Pour citer cet article

Christine Geron, «ON THE JAYNES-CUMMINGS HAMILTONIAN SUPERSYMMETRIC CHARACTERISTICS», Bulletin de la Société Royale des Sciences de Liège [En ligne], Numéro 5 - 6, Volume 68 - Année 1999, 403 – 408 URL : http://popups.ulg.be/0037-9565/index.php?id=2140.