ALGEBRAIC APPROACH TO THE JAYNES-CUMMINGS MODELS

A so far most generalized Jaynes-Cummings (JC) model, which includes n ot only various ordinary JC models but also a special model describing spin-orbit interaction, is investigated from an algebraic point of vi ew. We find that an alternative representation of su(2) algebra arises naturally from the system. This structure plays an essential role in the generalized system: As one result, the system behaves like a spin- 1/2 system moving in a magnetic held. So it is rather easy to obtain t he energy levels, eigenstates, and the time evolution operator, or any other quantities of physical interest. Two special cases are consider ed. Finally, a possible generalization to the three-level system is di scussed.