Periodic dependence of Stark width and shift on nuclear charge number

I. S. Lakićević

Jagoš Purić, I. S. Lakićević, V. Glavonjić

Behnam Nikoobakht

The analytic derivation of the dynamic Stark shift of hydrogenic energy levels in the presence of the circularly polarized laser light is presented. We use the classical framework with considering an adiabatically damped laser+atom interaction and an approach relies on time-independent perturbation theory with a second-quantized laser+atom dipole interaction Hamiltonian. We thus investigate the excitation process in atomic hydrogen or in a hydrogen like ion with low nuclear charge number in the presence of the circularly polarized laser light. The derived formula for the dynamic AC Stark shift of hydrogenic energy levels using these two methods are shown to be same in the limit of large photon numbers.

Haas, M, Ulrich D. Jentschura, Christoph H. Keitel

We compare the derivation of the dynamic Stark shift of hydrogenic energy levels in a classical framework with an adiabatically damped laser-atom interaction, which is equivalent to the Gell-Mann-Low-Sucher formula, and a treatment based on time-independent perturbation theory, with a second-quantized laser-atom dipole interaction Hamiltonian. Our analysis applies to a laser that excites a two-photon transition in atomic hydrogen or in a hydrogenlike ion with low nuclear charge number. Our comparisons serve to demonstrate why the dynamic Stark shift may be interpreted as a stimulated radiative correction and illustrates connections between the two derivations. The simplest of the derivations is the fully quantized approach. The classical and the second-quantized treatment are shown to be equivalent in the limit of large photon numbers.

А. А. Корниенко, Elena B. Dunina

M. Haas, Ulrich D. Jentschura, C. H. Keitel

We compare the derivation of the dynamic Stark shift of hydrogenic energy levels in a classical framework with an adiabatically damped laser-atom interaction, which is equivalent to the Gell-Mann-Low-Sucher formula, and a treatment based on time-independent perturbation theory, with a second-quantized laser-atom dipole interaction Hamiltonian. Our analysis applies to a laser that excites a two-photon transition in atomic hydrogen or in a hydrogenlike ion with low nuclear charge number. Our comparisons serve to demonstrate why the dynamic Stark shift may be interpreted as a stimulated radiative correction and illustrates connections between the two derivations. The simplest of the derivations is the fully quantized approach. The classical and the second-quantized treatment are shown to be equivalent in the limit of large photon numbers.