2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150774We treat the interaction of a trapped ion with a standing-wave light field relaxing the previous condition of the trapping ion being on the node of the standing wave. In addition we work to second order in the Lamb-Dicke parameter $η$, the extension to higher orders in $η$ is also indicated. Only a simple transformation to the ``dressed basis'' [subject to the constraint of Pauli algebra] is required in order to show that the ion interacting with a standing light-wave may be described by the Jaynes-Cummings Hamiltonian.8 pages, RevTexAtomic Physicstext